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Finding the Fourth Proportional to 2,349.47, 3,242.25 and 1,354.73

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Solution

The fourth proportional to 2,349.47, 3,242.25 and 1,354.73 is: 1,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.47 : 3,242.25 = 1,354.73 : x
  2. Step 2: Convert to fraction form
    2,349.47/3,242.25 = 1,354.73/x
  3. Step 3: Cross multiply
    2,349.47x = 3,242.25 × 1,354.73
  4. Step 4: Simplify right side
    2,349.47x = 4,392,357.13
  5. Step 5: Solve for x
    x = 4,392,357.13/2,349.47
  6. Step 6: Final answer
    x = 1,869.51

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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.