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Finding the Fourth Proportional to 3,254.68, 4,881.48 and 1,174.66

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Solution

The fourth proportional to 3,254.68, 4,881.48 and 1,174.66 is: 1,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.68 : 4,881.48 = 1,174.66 : x
  2. Step 2: Convert to fraction form
    3,254.68/4,881.48 = 1,174.66/x
  3. Step 3: Cross multiply
    3,254.68x = 4,881.48 × 1,174.66
  4. Step 4: Simplify right side
    3,254.68x = 5,734,079.30
  5. Step 5: Solve for x
    x = 5,734,079.30/3,254.68
  6. Step 6: Final answer
    x = 1,761.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.