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Finding the Fourth Proportional to 3,098.75, 4,277.07 and 1,919.13

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Solution

The fourth proportional to 3,098.75, 4,277.07 and 1,919.13 is: 2,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.75 : 4,277.07 = 1,919.13 : x
  2. Step 2: Convert to fraction form
    3,098.75/4,277.07 = 1,919.13/x
  3. Step 3: Cross multiply
    3,098.75x = 4,277.07 × 1,919.13
  4. Step 4: Simplify right side
    3,098.75x = 8,208,253.35
  5. Step 5: Solve for x
    x = 8,208,253.35/3,098.75
  6. Step 6: Final answer
    x = 2,648.90

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.