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Finding the Fourth Proportional to 2,001.47, 2,761.07 and 1,255.05

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Solution

The fourth proportional to 2,001.47, 2,761.07 and 1,255.05 is: 1,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.47 : 2,761.07 = 1,255.05 : x
  2. Step 2: Convert to fraction form
    2,001.47/2,761.07 = 1,255.05/x
  3. Step 3: Cross multiply
    2,001.47x = 2,761.07 × 1,255.05
  4. Step 4: Simplify right side
    2,001.47x = 3,465,274.63
  5. Step 5: Solve for x
    x = 3,465,274.63/2,001.47
  6. Step 6: Final answer
    x = 1,731.37

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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.