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Finding the Fourth Proportional to 2,712.32, 3,744.08 and 2,332.76

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Solution

The fourth proportional to 2,712.32, 3,744.08 and 2,332.76 is: 3,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.32 : 3,744.08 = 2,332.76 : x
  2. Step 2: Convert to fraction form
    2,712.32/3,744.08 = 2,332.76/x
  3. Step 3: Cross multiply
    2,712.32x = 3,744.08 × 2,332.76
  4. Step 4: Simplify right side
    2,712.32x = 8,734,040.06
  5. Step 5: Solve for x
    x = 8,734,040.06/2,712.32
  6. Step 6: Final answer
    x = 3,220.14

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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.