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Finding the Fourth Proportional to 2,753.46, 3,799.98 and 2,254.64

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Solution

The fourth proportional to 2,753.46, 3,799.98 and 2,254.64 is: 3,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.46 : 3,799.98 = 2,254.64 : x
  2. Step 2: Convert to fraction form
    2,753.46/3,799.98 = 2,254.64/x
  3. Step 3: Cross multiply
    2,753.46x = 3,799.98 × 2,254.64
  4. Step 4: Simplify right side
    2,753.46x = 8,567,567.91
  5. Step 5: Solve for x
    x = 8,567,567.91/2,753.46
  6. Step 6: Final answer
    x = 3,111.56

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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.