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Finding the Fourth Proportional to 2,543.69, 3,815.42 and 788.55

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Solution

The fourth proportional to 2,543.69, 3,815.42 and 788.55 is: 1,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.69 : 3,815.42 = 788.55 : x
  2. Step 2: Convert to fraction form
    2,543.69/3,815.42 = 788.55/x
  3. Step 3: Cross multiply
    2,543.69x = 3,815.42 × 788.55
  4. Step 4: Simplify right side
    2,543.69x = 3,008,645.50
  5. Step 5: Solve for x
    x = 3,008,645.50/2,543.69
  6. Step 6: Final answer
    x = 1,182.79

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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.