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Finding the Fourth Proportional to 2,610.90, 3,909.15 and 2,034.90

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Solution

The fourth proportional to 2,610.90, 3,909.15 and 2,034.90 is: 3,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.90 : 3,909.15 = 2,034.90 : x
  2. Step 2: Convert to fraction form
    2,610.90/3,909.15 = 2,034.90/x
  3. Step 3: Cross multiply
    2,610.90x = 3,909.15 × 2,034.90
  4. Step 4: Simplify right side
    2,610.90x = 7,954,729.34
  5. Step 5: Solve for x
    x = 7,954,729.34/2,610.90
  6. Step 6: Final answer
    x = 3,046.74

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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.