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Finding the Fourth Proportional to 1,242.14, 1,861.11 and 591.44

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Solution

The fourth proportional to 1,242.14, 1,861.11 and 591.44 is: 886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.14 : 1,861.11 = 591.44 : x
  2. Step 2: Convert to fraction form
    1,242.14/1,861.11 = 591.44/x
  3. Step 3: Cross multiply
    1,242.14x = 1,861.11 × 591.44
  4. Step 4: Simplify right side
    1,242.14x = 1,100,725.59
  5. Step 5: Solve for x
    x = 1,100,725.59/1,242.14
  6. Step 6: Final answer
    x = 886.16

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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.