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Finding the Fourth Proportional to 2,801.70, 3,866.24 and 1,542.68

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Solution

The fourth proportional to 2,801.70, 3,866.24 and 1,542.68 is: 2,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.70 : 3,866.24 = 1,542.68 : x
  2. Step 2: Convert to fraction form
    2,801.70/3,866.24 = 1,542.68/x
  3. Step 3: Cross multiply
    2,801.70x = 3,866.24 × 1,542.68
  4. Step 4: Simplify right side
    2,801.70x = 5,964,371.12
  5. Step 5: Solve for x
    x = 5,964,371.12/2,801.70
  6. Step 6: Final answer
    x = 2,128.84

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1.5x scale

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.