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Finding the Fourth Proportional to 2,404.62, 3,311.82 and 2,397.42

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Solution

The fourth proportional to 2,404.62, 3,311.82 and 2,397.42 is: 3,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.62 : 3,311.82 = 2,397.42 : x
  2. Step 2: Convert to fraction form
    2,404.62/3,311.82 = 2,397.42/x
  3. Step 3: Cross multiply
    2,404.62x = 3,311.82 × 2,397.42
  4. Step 4: Simplify right side
    2,404.62x = 7,939,823.50
  5. Step 5: Solve for x
    x = 7,939,823.50/2,404.62
  6. Step 6: Final answer
    x = 3,301.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.