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Finding the Fourth Proportional to 2,701.52, 3,727.87 and 1,522.88

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Solution

The fourth proportional to 2,701.52, 3,727.87 and 1,522.88 is: 2,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.52 : 3,727.87 = 1,522.88 : x
  2. Step 2: Convert to fraction form
    2,701.52/3,727.87 = 1,522.88/x
  3. Step 3: Cross multiply
    2,701.52x = 3,727.87 × 1,522.88
  4. Step 4: Simplify right side
    2,701.52x = 5,677,076.22
  5. Step 5: Solve for x
    x = 5,677,076.22/2,701.52
  6. Step 6: Final answer
    x = 2,101.44

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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.