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Finding the Fourth Proportional to 3,254.80, 4,883.14 and 1,174.75

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Solution

The fourth proportional to 3,254.80, 4,883.14 and 1,174.75 is: 1,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.80 : 4,883.14 = 1,174.75 : x
  2. Step 2: Convert to fraction form
    3,254.80/4,883.14 = 1,174.75/x
  3. Step 3: Cross multiply
    3,254.80x = 4,883.14 × 1,174.75
  4. Step 4: Simplify right side
    3,254.80x = 5,736,438.43
  5. Step 5: Solve for x
    x = 5,736,438.43/3,254.80
  6. Step 6: Final answer
    x = 1,762.46

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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.