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Finding the Fourth Proportional to 3,241.76, 4,470.76 and 2,195.24

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Solution

The fourth proportional to 3,241.76, 4,470.76 and 2,195.24 is: 3,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.76 : 4,470.76 = 2,195.24 : x
  2. Step 2: Convert to fraction form
    3,241.76/4,470.76 = 2,195.24/x
  3. Step 3: Cross multiply
    3,241.76x = 4,470.76 × 2,195.24
  4. Step 4: Simplify right side
    3,241.76x = 9,814,391.18
  5. Step 5: Solve for x
    x = 9,814,391.18/3,241.76
  6. Step 6: Final answer
    x = 3,027.49

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Half scale
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Double scale
Find fourth proportional to 3,242.76, 4,472.14 and 2,196.24
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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.