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Finding the Fourth Proportional to 2,701.97, 3,728.72 and 1,459.97

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Solution

The fourth proportional to 2,701.97, 3,728.72 and 1,459.97 is: 2,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.97 : 3,728.72 = 1,459.97 : x
  2. Step 2: Convert to fraction form
    2,701.97/3,728.72 = 1,459.97/x
  3. Step 3: Cross multiply
    2,701.97x = 3,728.72 × 1,459.97
  4. Step 4: Simplify right side
    2,701.97x = 5,443,818.33
  5. Step 5: Solve for x
    x = 5,443,818.33/2,701.97
  6. Step 6: Final answer
    x = 2,014.76

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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.