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Finding the Fourth Proportional to 3,024.61, 4,174.23 and 1,766.27

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Solution

The fourth proportional to 3,024.61, 4,174.23 and 1,766.27 is: 2,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.61 : 4,174.23 = 1,766.27 : x
  2. Step 2: Convert to fraction form
    3,024.61/4,174.23 = 1,766.27/x
  3. Step 3: Cross multiply
    3,024.61x = 4,174.23 × 1,766.27
  4. Step 4: Simplify right side
    3,024.61x = 7,372,834.28
  5. Step 5: Solve for x
    x = 7,372,834.28/3,024.61
  6. Step 6: Final answer
    x = 2,437.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.