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Finding the Fourth Proportional to 2,793.15, 3,854.60 and 1,534.34

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Solution

The fourth proportional to 2,793.15, 3,854.60 and 1,534.34 is: 2,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.15 : 3,854.60 = 1,534.34 : x
  2. Step 2: Convert to fraction form
    2,793.15/3,854.60 = 1,534.34/x
  3. Step 3: Cross multiply
    2,793.15x = 3,854.60 × 1,534.34
  4. Step 4: Simplify right side
    2,793.15x = 5,914,240.02
  5. Step 5: Solve for x
    x = 5,914,240.02/2,793.15
  6. Step 6: Final answer
    x = 2,117.41

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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.