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Finding the Fourth Proportional to 2,006.97, 2,769.15 and 1,250.63

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Solution

The fourth proportional to 2,006.97, 2,769.15 and 1,250.63 is: 1,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.97 : 2,769.15 = 1,250.63 : x
  2. Step 2: Convert to fraction form
    2,006.97/2,769.15 = 1,250.63/x
  3. Step 3: Cross multiply
    2,006.97x = 2,769.15 × 1,250.63
  4. Step 4: Simplify right side
    2,006.97x = 3,463,182.06
  5. Step 5: Solve for x
    x = 3,463,182.06/2,006.97
  6. Step 6: Final answer
    x = 1,725.58

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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.