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Finding the Fourth Proportional to 2,273.97, 3,410.95 and 734.97

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Solution

The fourth proportional to 2,273.97, 3,410.95 and 734.97 is: 1,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.97 : 3,410.95 = 734.97 : x
  2. Step 2: Convert to fraction form
    2,273.97/3,410.95 = 734.97/x
  3. Step 3: Cross multiply
    2,273.97x = 3,410.95 × 734.97
  4. Step 4: Simplify right side
    2,273.97x = 2,506,945.92
  5. Step 5: Solve for x
    x = 2,506,945.92/2,273.97
  6. Step 6: Final answer
    x = 1,102.45

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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.