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Finding the Fourth Proportional to 3,112.68, 4,668.42 and 1,032.72

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Solution

The fourth proportional to 3,112.68, 4,668.42 and 1,032.72 is: 1,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.68 : 4,668.42 = 1,032.72 : x
  2. Step 2: Convert to fraction form
    3,112.68/4,668.42 = 1,032.72/x
  3. Step 3: Cross multiply
    3,112.68x = 4,668.42 × 1,032.72
  4. Step 4: Simplify right side
    3,112.68x = 4,821,170.70
  5. Step 5: Solve for x
    x = 4,821,170.70/3,112.68
  6. Step 6: Final answer
    x = 1,548.88

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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.