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Finding the Fourth Proportional to 2,276.13, 3,414.06 and 959.32

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Solution

The fourth proportional to 2,276.13, 3,414.06 and 959.32 is: 1,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.13 : 3,414.06 = 959.32 : x
  2. Step 2: Convert to fraction form
    2,276.13/3,414.06 = 959.32/x
  3. Step 3: Cross multiply
    2,276.13x = 3,414.06 × 959.32
  4. Step 4: Simplify right side
    2,276.13x = 3,275,176.04
  5. Step 5: Solve for x
    x = 3,275,176.04/2,276.13
  6. Step 6: Final answer
    x = 1,438.92

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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.