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Finding the Fourth Proportional to 1,687.40, 2,531.22 and 591.44

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Solution

The fourth proportional to 1,687.40, 2,531.22 and 591.44 is: 887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.40 : 2,531.22 = 591.44 : x
  2. Step 2: Convert to fraction form
    1,687.40/2,531.22 = 591.44/x
  3. Step 3: Cross multiply
    1,687.40x = 2,531.22 × 591.44
  4. Step 4: Simplify right side
    1,687.40x = 1,497,064.76
  5. Step 5: Solve for x
    x = 1,497,064.76/1,687.40
  6. Step 6: Final answer
    x = 887.20

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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.