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Finding the Fourth Proportional to 2,748.48, 4,142.04 and 2,474.88

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Solution

The fourth proportional to 2,748.48, 4,142.04 and 2,474.88 is: 3,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.48 : 4,142.04 = 2,474.88 : x
  2. Step 2: Convert to fraction form
    2,748.48/4,142.04 = 2,474.88/x
  3. Step 3: Cross multiply
    2,748.48x = 4,142.04 × 2,474.88
  4. Step 4: Simplify right side
    2,748.48x = 10,251,051.96
  5. Step 5: Solve for x
    x = 10,251,051.96/2,748.48
  6. Step 6: Final answer
    x = 3,729.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.