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Finding the Fourth Proportional to 1,317.87, 1,972.86 and 854.31

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Solution

The fourth proportional to 1,317.87, 1,972.86 and 854.31 is: 1,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.87 : 1,972.86 = 854.31 : x
  2. Step 2: Convert to fraction form
    1,317.87/1,972.86 = 854.31/x
  3. Step 3: Cross multiply
    1,317.87x = 1,972.86 × 854.31
  4. Step 4: Simplify right side
    1,317.87x = 1,685,434.03
  5. Step 5: Solve for x
    x = 1,685,434.03/1,317.87
  6. Step 6: Final answer
    x = 1,278.91

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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.