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Finding the Fourth Proportional to 2,543.59, 3,815.49 and 788.44

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Solution

The fourth proportional to 2,543.59, 3,815.49 and 788.44 is: 1,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.59 : 3,815.49 = 788.44 : x
  2. Step 2: Convert to fraction form
    2,543.59/3,815.49 = 788.44/x
  3. Step 3: Cross multiply
    2,543.59x = 3,815.49 × 788.44
  4. Step 4: Simplify right side
    2,543.59x = 3,008,284.94
  5. Step 5: Solve for x
    x = 3,008,284.94/2,543.59
  6. Step 6: Final answer
    x = 1,182.69

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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.