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Finding the Fourth Proportional to 2,534.80, 3,499.84 and 2,002.88

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Solution

The fourth proportional to 2,534.80, 3,499.84 and 2,002.88 is: 2,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.80 : 3,499.84 = 2,002.88 : x
  2. Step 2: Convert to fraction form
    2,534.80/3,499.84 = 2,002.88/x
  3. Step 3: Cross multiply
    2,534.80x = 3,499.84 × 2,002.88
  4. Step 4: Simplify right side
    2,534.80x = 7,009,759.54
  5. Step 5: Solve for x
    x = 7,009,759.54/2,534.80
  6. Step 6: Final answer
    x = 2,765.41

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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.