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Finding the Fourth Proportional to 1,241.61, 1,862.75 and 1,105.59

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Solution

The fourth proportional to 1,241.61, 1,862.75 and 1,105.59 is: 1,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.61 : 1,862.75 = 1,105.59 : x
  2. Step 2: Convert to fraction form
    1,241.61/1,862.75 = 1,105.59/x
  3. Step 3: Cross multiply
    1,241.61x = 1,862.75 × 1,105.59
  4. Step 4: Simplify right side
    1,241.61x = 2,059,437.77
  5. Step 5: Solve for x
    x = 2,059,437.77/1,241.61
  6. Step 6: Final answer
    x = 1,658.68

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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.