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Finding the Fourth Proportional to 2,452.43, 3,678.33 and 697.58

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Solution

The fourth proportional to 2,452.43, 3,678.33 and 697.58 is: 1,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.43 : 3,678.33 = 697.58 : x
  2. Step 2: Convert to fraction form
    2,452.43/3,678.33 = 697.58/x
  3. Step 3: Cross multiply
    2,452.43x = 3,678.33 × 697.58
  4. Step 4: Simplify right side
    2,452.43x = 2,565,911.05
  5. Step 5: Solve for x
    x = 2,565,911.05/2,452.43
  6. Step 6: Final answer
    x = 1,046.28

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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.