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Finding the Fourth Proportional to 1,691.94, 2,538.02 and 960.11

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Solution

The fourth proportional to 1,691.94, 2,538.02 and 960.11 is: 1,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.94 : 2,538.02 = 960.11 : x
  2. Step 2: Convert to fraction form
    1,691.94/2,538.02 = 960.11/x
  3. Step 3: Cross multiply
    1,691.94x = 2,538.02 × 960.11
  4. Step 4: Simplify right side
    1,691.94x = 2,436,760.89
  5. Step 5: Solve for x
    x = 2,436,760.89/1,691.94
  6. Step 6: Final answer
    x = 1,440.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.