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Finding the Fourth Proportional to 2,253.85, 3,380.79 and 610.41

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Solution

The fourth proportional to 2,253.85, 3,380.79 and 610.41 is: 915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.85 : 3,380.79 = 610.41 : x
  2. Step 2: Convert to fraction form
    2,253.85/3,380.79 = 610.41/x
  3. Step 3: Cross multiply
    2,253.85x = 3,380.79 × 610.41
  4. Step 4: Simplify right side
    2,253.85x = 2,063,668.02
  5. Step 5: Solve for x
    x = 2,063,668.02/2,253.85
  6. Step 6: Final answer
    x = 915.62

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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.