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Finding the Fourth Proportional to 3,128.31, 4,691.32 and 936.30

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Solution

The fourth proportional to 3,128.31, 4,691.32 and 936.30 is: 1,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.31 : 4,691.32 = 936.30 : x
  2. Step 2: Convert to fraction form
    3,128.31/4,691.32 = 936.30/x
  3. Step 3: Cross multiply
    3,128.31x = 4,691.32 × 936.30
  4. Step 4: Simplify right side
    3,128.31x = 4,392,482.92
  5. Step 5: Solve for x
    x = 4,392,482.92/3,128.31
  6. Step 6: Final answer
    x = 1,404.11

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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.