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Finding the Fourth Proportional to 1,631.57, 2,447.36 and 591.71

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Solution

The fourth proportional to 1,631.57, 2,447.36 and 591.71 is: 887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.57 : 2,447.36 = 591.71 : x
  2. Step 2: Convert to fraction form
    1,631.57/2,447.36 = 591.71/x
  3. Step 3: Cross multiply
    1,631.57x = 2,447.36 × 591.71
  4. Step 4: Simplify right side
    1,631.57x = 1,448,124.43
  5. Step 5: Solve for x
    x = 1,448,124.43/1,631.57
  6. Step 6: Final answer
    x = 887.57

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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.