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Finding the Fourth Proportional to 3,104.57, 4,284.97 and 1,909.55

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Solution

The fourth proportional to 3,104.57, 4,284.97 and 1,909.55 is: 2,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.57 : 4,284.97 = 1,909.55 : x
  2. Step 2: Convert to fraction form
    3,104.57/4,284.97 = 1,909.55/x
  3. Step 3: Cross multiply
    3,104.57x = 4,284.97 × 1,909.55
  4. Step 4: Simplify right side
    3,104.57x = 8,182,364.46
  5. Step 5: Solve for x
    x = 8,182,364.46/3,104.57
  6. Step 6: Final answer
    x = 2,635.59

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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.