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Finding the Fourth Proportional to 1,241.26, 1,861.89 and 929.23

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Solution

The fourth proportional to 1,241.26, 1,861.89 and 929.23 is: 1,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.26 : 1,861.89 = 929.23 : x
  2. Step 2: Convert to fraction form
    1,241.26/1,861.89 = 929.23/x
  3. Step 3: Cross multiply
    1,241.26x = 1,861.89 × 929.23
  4. Step 4: Simplify right side
    1,241.26x = 1,730,124.04
  5. Step 5: Solve for x
    x = 1,730,124.04/1,241.26
  6. Step 6: Final answer
    x = 1,393.85

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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.