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Finding the Fourth Proportional to 2,717.78, 3,753.18 and 2,322.50

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Solution

The fourth proportional to 2,717.78, 3,753.18 and 2,322.50 is: 3,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.78 : 3,753.18 = 2,322.50 : x
  2. Step 2: Convert to fraction form
    2,717.78/3,753.18 = 2,322.50/x
  3. Step 3: Cross multiply
    2,717.78x = 3,753.18 × 2,322.50
  4. Step 4: Simplify right side
    2,717.78x = 8,716,760.55
  5. Step 5: Solve for x
    x = 8,716,760.55/2,717.78
  6. Step 6: Final answer
    x = 3,207.31

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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.