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Finding the Fourth Proportional to 2,765.80, 3,816.78 and 1,587.52

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Solution

The fourth proportional to 2,765.80, 3,816.78 and 1,587.52 is: 2,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.80 : 3,816.78 = 1,587.52 : x
  2. Step 2: Convert to fraction form
    2,765.80/3,816.78 = 1,587.52/x
  3. Step 3: Cross multiply
    2,765.80x = 3,816.78 × 1,587.52
  4. Step 4: Simplify right side
    2,765.80x = 6,059,214.59
  5. Step 5: Solve for x
    x = 6,059,214.59/2,765.80
  6. Step 6: Final answer
    x = 2,190.76

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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.