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Finding the Fourth Proportional to 2,801.95, 3,866.45 and 1,542.80

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Solution

The fourth proportional to 2,801.95, 3,866.45 and 1,542.80 is: 2,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.95 : 3,866.45 = 1,542.80 : x
  2. Step 2: Convert to fraction form
    2,801.95/3,866.45 = 1,542.80/x
  3. Step 3: Cross multiply
    2,801.95x = 3,866.45 × 1,542.80
  4. Step 4: Simplify right side
    2,801.95x = 5,965,161.01
  5. Step 5: Solve for x
    x = 5,965,161.01/2,801.95
  6. Step 6: Final answer
    x = 2,128.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.