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Finding the Fourth Proportional to 2,402.31, 3,314.94 and 1,773.17

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Solution

The fourth proportional to 2,402.31, 3,314.94 and 1,773.17 is: 2,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.31 : 3,314.94 = 1,773.17 : x
  2. Step 2: Convert to fraction form
    2,402.31/3,314.94 = 1,773.17/x
  3. Step 3: Cross multiply
    2,402.31x = 3,314.94 × 1,773.17
  4. Step 4: Simplify right side
    2,402.31x = 5,877,952.16
  5. Step 5: Solve for x
    x = 5,877,952.16/2,402.31
  6. Step 6: Final answer
    x = 2,446.79

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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.