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Finding the Fourth Proportional to 2,801.76, 3,866.34 and 1,542.78

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Solution

The fourth proportional to 2,801.76, 3,866.34 and 1,542.78 is: 2,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.76 : 3,866.34 = 1,542.78 : x
  2. Step 2: Convert to fraction form
    2,801.76/3,866.34 = 1,542.78/x
  3. Step 3: Cross multiply
    2,801.76x = 3,866.34 × 1,542.78
  4. Step 4: Simplify right side
    2,801.76x = 5,964,912.03
  5. Step 5: Solve for x
    x = 5,964,912.03/2,801.76
  6. Step 6: Final answer
    x = 2,128.99

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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.