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Finding the Fourth Proportional to 2,793.52, 3,855.13 and 1,534.65

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Solution

The fourth proportional to 2,793.52, 3,855.13 and 1,534.65 is: 2,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.52 : 3,855.13 = 1,534.65 : x
  2. Step 2: Convert to fraction form
    2,793.52/3,855.13 = 1,534.65/x
  3. Step 3: Cross multiply
    2,793.52x = 3,855.13 × 1,534.65
  4. Step 4: Simplify right side
    2,793.52x = 5,916,256.96
  5. Step 5: Solve for x
    x = 5,916,256.96/2,793.52
  6. Step 6: Final answer
    x = 2,117.85

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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.