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Finding the Fourth Proportional to 2,854.97, 3,940.01 and 1,735.73

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Solution

The fourth proportional to 2,854.97, 3,940.01 and 1,735.73 is: 2,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.97 : 3,940.01 = 1,735.73 : x
  2. Step 2: Convert to fraction form
    2,854.97/3,940.01 = 1,735.73/x
  3. Step 3: Cross multiply
    2,854.97x = 3,940.01 × 1,735.73
  4. Step 4: Simplify right side
    2,854.97x = 6,838,773.86
  5. Step 5: Solve for x
    x = 6,838,773.86/2,854.97
  6. Step 6: Final answer
    x = 2,395.39

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1.5x scale

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.