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Finding the Fourth Proportional to 2,129.63, 3,192.17 and 1,031.58

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Solution

The fourth proportional to 2,129.63, 3,192.17 and 1,031.58 is: 1,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.63 : 3,192.17 = 1,031.58 : x
  2. Step 2: Convert to fraction form
    2,129.63/3,192.17 = 1,031.58/x
  3. Step 3: Cross multiply
    2,129.63x = 3,192.17 × 1,031.58
  4. Step 4: Simplify right side
    2,129.63x = 3,292,973.57
  5. Step 5: Solve for x
    x = 3,292,973.57/2,129.63
  6. Step 6: Final answer
    x = 1,546.27

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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.