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Finding the Fourth Proportional to 2,502.13, 3,452.93 and 1,398.13

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Solution

The fourth proportional to 2,502.13, 3,452.93 and 1,398.13 is: 1,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.13 : 3,452.93 = 1,398.13 : x
  2. Step 2: Convert to fraction form
    2,502.13/3,452.93 = 1,398.13/x
  3. Step 3: Cross multiply
    2,502.13x = 3,452.93 × 1,398.13
  4. Step 4: Simplify right side
    2,502.13x = 4,827,645.02
  5. Step 5: Solve for x
    x = 4,827,645.02/2,502.13
  6. Step 6: Final answer
    x = 1,929.41

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