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Finding the Fourth Proportional to 3,270.54, 4,512.20 and 1,854.02

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Solution

The fourth proportional to 3,270.54, 4,512.20 and 1,854.02 is: 2,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.54 : 4,512.20 = 1,854.02 : x
  2. Step 2: Convert to fraction form
    3,270.54/4,512.20 = 1,854.02/x
  3. Step 3: Cross multiply
    3,270.54x = 4,512.20 × 1,854.02
  4. Step 4: Simplify right side
    3,270.54x = 8,365,709.04
  5. Step 5: Solve for x
    x = 8,365,709.04/3,270.54
  6. Step 6: Final answer
    x = 2,557.90

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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.