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Finding the Fourth Proportional to 1,545.17, 2,318.49 and 960.01

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Solution

The fourth proportional to 1,545.17, 2,318.49 and 960.01 is: 1,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.17 : 2,318.49 = 960.01 : x
  2. Step 2: Convert to fraction form
    1,545.17/2,318.49 = 960.01/x
  3. Step 3: Cross multiply
    1,545.17x = 2,318.49 × 960.01
  4. Step 4: Simplify right side
    1,545.17x = 2,225,767.79
  5. Step 5: Solve for x
    x = 2,225,767.79/1,545.17
  6. Step 6: Final answer
    x = 1,440.47

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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.