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Finding the Fourth Proportional to 1,478.68, 2,221.12 and 1,429.52

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Solution

The fourth proportional to 1,478.68, 2,221.12 and 1,429.52 is: 2,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.68 : 2,221.12 = 1,429.52 : x
  2. Step 2: Convert to fraction form
    1,478.68/2,221.12 = 1,429.52/x
  3. Step 3: Cross multiply
    1,478.68x = 2,221.12 × 1,429.52
  4. Step 4: Simplify right side
    1,478.68x = 3,175,135.46
  5. Step 5: Solve for x
    x = 3,175,135.46/1,478.68
  6. Step 6: Final answer
    x = 2,147.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.