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Finding the Fourth Proportional to 2,452.28, 3,678.62 and 697.41

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Solution

The fourth proportional to 2,452.28, 3,678.62 and 697.41 is: 1,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.28 : 3,678.62 = 697.41 : x
  2. Step 2: Convert to fraction form
    2,452.28/3,678.62 = 697.41/x
  3. Step 3: Cross multiply
    2,452.28x = 3,678.62 × 697.41
  4. Step 4: Simplify right side
    2,452.28x = 2,565,502.89
  5. Step 5: Solve for x
    x = 2,565,502.89/2,452.28
  6. Step 6: Final answer
    x = 1,046.17

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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.