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Finding the Fourth Proportional to 2,701.44, 3,727.92 and 1,522.44

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Solution

The fourth proportional to 2,701.44, 3,727.92 and 1,522.44 is: 2,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.44 : 3,727.92 = 1,522.44 : x
  2. Step 2: Convert to fraction form
    2,701.44/3,727.92 = 1,522.44/x
  3. Step 3: Cross multiply
    2,701.44x = 3,727.92 × 1,522.44
  4. Step 4: Simplify right side
    2,701.44x = 5,675,534.52
  5. Step 5: Solve for x
    x = 5,675,534.52/2,701.44
  6. Step 6: Final answer
    x = 2,100.93

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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.