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Finding the Fourth Proportional to 2,600.97, 3,901.17 and 653.18

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Solution

The fourth proportional to 2,600.97, 3,901.17 and 653.18 is: 979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.97 : 3,901.17 = 653.18 : x
  2. Step 2: Convert to fraction form
    2,600.97/3,901.17 = 653.18/x
  3. Step 3: Cross multiply
    2,600.97x = 3,901.17 × 653.18
  4. Step 4: Simplify right side
    2,600.97x = 2,548,153.20
  5. Step 5: Solve for x
    x = 2,548,153.20/2,600.97
  6. Step 6: Final answer
    x = 979.69

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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.