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Finding the Fourth Proportional to 2,128.52, 3,190.88 and 1,031.78

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Solution

The fourth proportional to 2,128.52, 3,190.88 and 1,031.78 is: 1,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.52 : 3,190.88 = 1,031.78 : x
  2. Step 2: Convert to fraction form
    2,128.52/3,190.88 = 1,031.78/x
  3. Step 3: Cross multiply
    2,128.52x = 3,190.88 × 1,031.78
  4. Step 4: Simplify right side
    2,128.52x = 3,292,286.17
  5. Step 5: Solve for x
    x = 3,292,286.17/2,128.52
  6. Step 6: Final answer
    x = 1,546.75

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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.