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Finding the Fourth Proportional to 2,129, 3,190.38 and 1,032.04

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Solution

The fourth proportional to 2,129, 3,190.38 and 1,032.04 is: 1,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129 : 3,190.38 = 1,032.04 : x
  2. Step 2: Convert to fraction form
    2,129/3,190.38 = 1,032.04/x
  3. Step 3: Cross multiply
    2,129x = 3,190.38 × 1,032.04
  4. Step 4: Simplify right side
    2,129x = 3,292,599.78
  5. Step 5: Solve for x
    x = 3,292,599.78/2,129
  6. Step 6: Final answer
    x = 1,546.55

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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.