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Finding the Fourth Proportional to 2,404.96, 3,319.15 and 1,357

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Solution

The fourth proportional to 2,404.96, 3,319.15 and 1,357 is: 1,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.96 : 3,319.15 = 1,357 : x
  2. Step 2: Convert to fraction form
    2,404.96/3,319.15 = 1,357/x
  3. Step 3: Cross multiply
    2,404.96x = 3,319.15 × 1,357
  4. Step 4: Simplify right side
    2,404.96x = 4,504,086.55
  5. Step 5: Solve for x
    x = 4,504,086.55/2,404.96
  6. Step 6: Final answer
    x = 1,872.83

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Why These Related Problems?

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