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Finding the Fourth Proportional to 2,452.25, 3,678.28 and 697.27

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Solution

The fourth proportional to 2,452.25, 3,678.28 and 697.27 is: 1,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.25 : 3,678.28 = 697.27 : x
  2. Step 2: Convert to fraction form
    2,452.25/3,678.28 = 697.27/x
  3. Step 3: Cross multiply
    2,452.25x = 3,678.28 × 697.27
  4. Step 4: Simplify right side
    2,452.25x = 2,564,754.30
  5. Step 5: Solve for x
    x = 2,564,754.30/2,452.25
  6. Step 6: Final answer
    x = 1,045.88

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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.