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Finding the Fourth Proportional to 2,681.80, 4,023.65 and 1,200.90

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Solution

The fourth proportional to 2,681.80, 4,023.65 and 1,200.90 is: 1,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.80 : 4,023.65 = 1,200.90 : x
  2. Step 2: Convert to fraction form
    2,681.80/4,023.65 = 1,200.90/x
  3. Step 3: Cross multiply
    2,681.80x = 4,023.65 × 1,200.90
  4. Step 4: Simplify right side
    2,681.80x = 4,832,001.29
  5. Step 5: Solve for x
    x = 4,832,001.29/2,681.80
  6. Step 6: Final answer
    x = 1,801.78

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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.