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Finding the Fourth Proportional to 2,749.66, 3,792.62 and 2,332.78

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Solution

The fourth proportional to 2,749.66, 3,792.62 and 2,332.78 is: 3,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.66 : 3,792.62 = 2,332.78 : x
  2. Step 2: Convert to fraction form
    2,749.66/3,792.62 = 2,332.78/x
  3. Step 3: Cross multiply
    2,749.66x = 3,792.62 × 2,332.78
  4. Step 4: Simplify right side
    2,749.66x = 8,847,348.08
  5. Step 5: Solve for x
    x = 8,847,348.08/2,749.66
  6. Step 6: Final answer
    x = 3,217.62

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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.