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Finding the Fourth Proportional to 1,631.72, 2,447.57 and 591.69

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Solution

The fourth proportional to 1,631.72, 2,447.57 and 591.69 is: 887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.72 : 2,447.57 = 591.69 : x
  2. Step 2: Convert to fraction form
    1,631.72/2,447.57 = 591.69/x
  3. Step 3: Cross multiply
    1,631.72x = 2,447.57 × 591.69
  4. Step 4: Simplify right side
    1,631.72x = 1,448,210.02
  5. Step 5: Solve for x
    x = 1,448,210.02/1,631.72
  6. Step 6: Final answer
    x = 887.54

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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.