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Finding the Fourth Proportional to 1,371.85, 2,056.14 and 591.61

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Solution

The fourth proportional to 1,371.85, 2,056.14 and 591.61 is: 886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.85 : 2,056.14 = 591.61 : x
  2. Step 2: Convert to fraction form
    1,371.85/2,056.14 = 591.61/x
  3. Step 3: Cross multiply
    1,371.85x = 2,056.14 × 591.61
  4. Step 4: Simplify right side
    1,371.85x = 1,216,432.99
  5. Step 5: Solve for x
    x = 1,216,432.99/1,371.85
  6. Step 6: Final answer
    x = 886.71

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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.