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Finding the Fourth Proportional to 2,305.97, 3,458.95 and 747.28

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Solution

The fourth proportional to 2,305.97, 3,458.95 and 747.28 is: 1,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.97 : 3,458.95 = 747.28 : x
  2. Step 2: Convert to fraction form
    2,305.97/3,458.95 = 747.28/x
  3. Step 3: Cross multiply
    2,305.97x = 3,458.95 × 747.28
  4. Step 4: Simplify right side
    2,305.97x = 2,584,791.36
  5. Step 5: Solve for x
    x = 2,584,791.36/2,305.97
  6. Step 6: Final answer
    x = 1,120.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.