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Finding the Fourth Proportional to 1,241.86, 1,862.07 and 510.61

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Solution

The fourth proportional to 1,241.86, 1,862.07 and 510.61 is: 765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.86 : 1,862.07 = 510.61 : x
  2. Step 2: Convert to fraction form
    1,241.86/1,862.07 = 510.61/x
  3. Step 3: Cross multiply
    1,241.86x = 1,862.07 × 510.61
  4. Step 4: Simplify right side
    1,241.86x = 950,791.56
  5. Step 5: Solve for x
    x = 950,791.56/1,241.86
  6. Step 6: Final answer
    x = 765.62

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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.