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Finding the Fourth Proportional to 2,839.80, 4,254.42 and 1,542.36

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Solution

The fourth proportional to 2,839.80, 4,254.42 and 1,542.36 is: 2,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.80 : 4,254.42 = 1,542.36 : x
  2. Step 2: Convert to fraction form
    2,839.80/4,254.42 = 1,542.36/x
  3. Step 3: Cross multiply
    2,839.80x = 4,254.42 × 1,542.36
  4. Step 4: Simplify right side
    2,839.80x = 6,561,847.23
  5. Step 5: Solve for x
    x = 6,561,847.23/2,839.80
  6. Step 6: Final answer
    x = 2,310.67

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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.