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Finding the Fourth Proportional to 2,354.25, 3,248.87 and 1,306.32

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Solution

The fourth proportional to 2,354.25, 3,248.87 and 1,306.32 is: 1,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.25 : 3,248.87 = 1,306.32 : x
  2. Step 2: Convert to fraction form
    2,354.25/3,248.87 = 1,306.32/x
  3. Step 3: Cross multiply
    2,354.25x = 3,248.87 × 1,306.32
  4. Step 4: Simplify right side
    2,354.25x = 4,244,057.33
  5. Step 5: Solve for x
    x = 4,244,057.33/2,354.25
  6. Step 6: Final answer
    x = 1,802.72

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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.