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Finding the Fourth Proportional to 3,049.80, 4,206.76 and 1,928.76

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Solution

The fourth proportional to 3,049.80, 4,206.76 and 1,928.76 is: 2,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.80 : 4,206.76 = 1,928.76 : x
  2. Step 2: Convert to fraction form
    3,049.80/4,206.76 = 1,928.76/x
  3. Step 3: Cross multiply
    3,049.80x = 4,206.76 × 1,928.76
  4. Step 4: Simplify right side
    3,049.80x = 8,113,830.42
  5. Step 5: Solve for x
    x = 8,113,830.42/3,049.80
  6. Step 6: Final answer
    x = 2,660.45

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Half scale
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Double scale
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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.