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Finding the Fourth Proportional to 2,454.90, 3,682.31 and 606.04

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Solution

The fourth proportional to 2,454.90, 3,682.31 and 606.04 is: 909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.90 : 3,682.31 = 606.04 : x
  2. Step 2: Convert to fraction form
    2,454.90/3,682.31 = 606.04/x
  3. Step 3: Cross multiply
    2,454.90x = 3,682.31 × 606.04
  4. Step 4: Simplify right side
    2,454.90x = 2,231,609.15
  5. Step 5: Solve for x
    x = 2,231,609.15/2,454.90
  6. Step 6: Final answer
    x = 909.04

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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.