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Finding the Fourth Proportional to 2,559.60, 3,841.02 and 1,635.80

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Solution

The fourth proportional to 2,559.60, 3,841.02 and 1,635.80 is: 2,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.60 : 3,841.02 = 1,635.80 : x
  2. Step 2: Convert to fraction form
    2,559.60/3,841.02 = 1,635.80/x
  3. Step 3: Cross multiply
    2,559.60x = 3,841.02 × 1,635.80
  4. Step 4: Simplify right side
    2,559.60x = 6,283,121.31
  5. Step 5: Solve for x
    x = 6,283,121.31/2,559.60
  6. Step 6: Final answer
    x = 2,454.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.