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Finding the Fourth Proportional to 2,275.56, 3,411.86 and 960.17

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Solution

The fourth proportional to 2,275.56, 3,411.86 and 960.17 is: 1,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.56 : 3,411.86 = 960.17 : x
  2. Step 2: Convert to fraction form
    2,275.56/3,411.86 = 960.17/x
  3. Step 3: Cross multiply
    2,275.56x = 3,411.86 × 960.17
  4. Step 4: Simplify right side
    2,275.56x = 3,275,943.76
  5. Step 5: Solve for x
    x = 3,275,943.76/2,275.56
  6. Step 6: Final answer
    x = 1,439.62

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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.