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Finding the Fourth Proportional to 1,243.14, 1,862.61 and 592.44

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Solution

The fourth proportional to 1,243.14, 1,862.61 and 592.44 is: 887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.14 : 1,862.61 = 592.44 : x
  2. Step 2: Convert to fraction form
    1,243.14/1,862.61 = 592.44/x
  3. Step 3: Cross multiply
    1,243.14x = 1,862.61 × 592.44
  4. Step 4: Simplify right side
    1,243.14x = 1,103,484.67
  5. Step 5: Solve for x
    x = 1,103,484.67/1,243.14
  6. Step 6: Final answer
    x = 887.66

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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.