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Finding the Fourth Proportional to 2,494.04, 3,740.92 and 762.66

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Solution

The fourth proportional to 2,494.04, 3,740.92 and 762.66 is: 1,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.04 : 3,740.92 = 762.66 : x
  2. Step 2: Convert to fraction form
    2,494.04/3,740.92 = 762.66/x
  3. Step 3: Cross multiply
    2,494.04x = 3,740.92 × 762.66
  4. Step 4: Simplify right side
    2,494.04x = 2,853,048.14
  5. Step 5: Solve for x
    x = 2,853,048.14/2,494.04
  6. Step 6: Final answer
    x = 1,143.95

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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.