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Finding the Fourth Proportional to 2,932.12, 4,398.06 and 880.12

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Solution

The fourth proportional to 2,932.12, 4,398.06 and 880.12 is: 1,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.12 : 4,398.06 = 880.12 : x
  2. Step 2: Convert to fraction form
    2,932.12/4,398.06 = 880.12/x
  3. Step 3: Cross multiply
    2,932.12x = 4,398.06 × 880.12
  4. Step 4: Simplify right side
    2,932.12x = 3,870,820.57
  5. Step 5: Solve for x
    x = 3,870,820.57/2,932.12
  6. Step 6: Final answer
    x = 1,320.14

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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.