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Finding the Fourth Proportional to 1,241.20, 1,861.70 and 461.16

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Solution

The fourth proportional to 1,241.20, 1,861.70 and 461.16 is: 691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.20 : 1,861.70 = 461.16 : x
  2. Step 2: Convert to fraction form
    1,241.20/1,861.70 = 461.16/x
  3. Step 3: Cross multiply
    1,241.20x = 1,861.70 × 461.16
  4. Step 4: Simplify right side
    1,241.20x = 858,541.57
  5. Step 5: Solve for x
    x = 858,541.57/1,241.20
  6. Step 6: Final answer
    x = 691.70

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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.