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Finding the Fourth Proportional to 2,793.45, 3,855.01 and 1,534.62

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Solution

The fourth proportional to 2,793.45, 3,855.01 and 1,534.62 is: 2,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.45 : 3,855.01 = 1,534.62 : x
  2. Step 2: Convert to fraction form
    2,793.45/3,855.01 = 1,534.62/x
  3. Step 3: Cross multiply
    2,793.45x = 3,855.01 × 1,534.62
  4. Step 4: Simplify right side
    2,793.45x = 5,915,967.77
  5. Step 5: Solve for x
    x = 5,915,967.77/2,793.45
  6. Step 6: Final answer
    x = 2,117.80

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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.