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Finding the Fourth Proportional to 1,833.88, 2,745.90 and 1,542.28

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Solution

The fourth proportional to 1,833.88, 2,745.90 and 1,542.28 is: 2,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.88 : 2,745.90 = 1,542.28 : x
  2. Step 2: Convert to fraction form
    1,833.88/2,745.90 = 1,542.28/x
  3. Step 3: Cross multiply
    1,833.88x = 2,745.90 × 1,542.28
  4. Step 4: Simplify right side
    1,833.88x = 4,234,946.65
  5. Step 5: Solve for x
    x = 4,234,946.65/1,833.88
  6. Step 6: Final answer
    x = 2,309.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.