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Finding the Fourth Proportional to 3,254.78, 4,881.66 and 1,174.46

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Solution

The fourth proportional to 3,254.78, 4,881.66 and 1,174.46 is: 1,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.78 : 4,881.66 = 1,174.46 : x
  2. Step 2: Convert to fraction form
    3,254.78/4,881.66 = 1,174.46/x
  3. Step 3: Cross multiply
    3,254.78x = 4,881.66 × 1,174.46
  4. Step 4: Simplify right side
    3,254.78x = 5,733,314.40
  5. Step 5: Solve for x
    x = 5,733,314.40/3,254.78
  6. Step 6: Final answer
    x = 1,761.51

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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.