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Finding the Fourth Proportional to 2,543.60, 3,815.40 and 2,081.90

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Solution

The fourth proportional to 2,543.60, 3,815.40 and 2,081.90 is: 3,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.60 : 3,815.40 = 2,081.90 : x
  2. Step 2: Convert to fraction form
    2,543.60/3,815.40 = 2,081.90/x
  3. Step 3: Cross multiply
    2,543.60x = 3,815.40 × 2,081.90
  4. Step 4: Simplify right side
    2,543.60x = 7,943,281.26
  5. Step 5: Solve for x
    x = 7,943,281.26/2,543.60
  6. Step 6: Final answer
    x = 3,122.85

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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.