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Finding the Fourth Proportional to 2,697.47, 4,046.21 and 964.88

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Solution

The fourth proportional to 2,697.47, 4,046.21 and 964.88 is: 1,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.47 : 4,046.21 = 964.88 : x
  2. Step 2: Convert to fraction form
    2,697.47/4,046.21 = 964.88/x
  3. Step 3: Cross multiply
    2,697.47x = 4,046.21 × 964.88
  4. Step 4: Simplify right side
    2,697.47x = 3,904,082.05
  5. Step 5: Solve for x
    x = 3,904,082.05/2,697.47
  6. Step 6: Final answer
    x = 1,447.32

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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.