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Finding the Fourth Proportional to 2,102.88, 3,152.16 and 1,128.72

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Solution

The fourth proportional to 2,102.88, 3,152.16 and 1,128.72 is: 1,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.88 : 3,152.16 = 1,128.72 : x
  2. Step 2: Convert to fraction form
    2,102.88/3,152.16 = 1,128.72/x
  3. Step 3: Cross multiply
    2,102.88x = 3,152.16 × 1,128.72
  4. Step 4: Simplify right side
    2,102.88x = 3,557,906.04
  5. Step 5: Solve for x
    x = 3,557,906.04/2,102.88
  6. Step 6: Final answer
    x = 1,691.92

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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.