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Finding the Fourth Proportional to 1,666.31, 2,495.57 and 1,317.30

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Solution

The fourth proportional to 1,666.31, 2,495.57 and 1,317.30 is: 1,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.31 : 2,495.57 = 1,317.30 : x
  2. Step 2: Convert to fraction form
    1,666.31/2,495.57 = 1,317.30/x
  3. Step 3: Cross multiply
    1,666.31x = 2,495.57 × 1,317.30
  4. Step 4: Simplify right side
    1,666.31x = 3,287,414.36
  5. Step 5: Solve for x
    x = 3,287,414.36/1,666.31
  6. Step 6: Final answer
    x = 1,972.87

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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.