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Finding the Fourth Proportional to 2,704.97, 3,732.86 and 1,526.05

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Solution

The fourth proportional to 2,704.97, 3,732.86 and 1,526.05 is: 2,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.97 : 3,732.86 = 1,526.05 : x
  2. Step 2: Convert to fraction form
    2,704.97/3,732.86 = 1,526.05/x
  3. Step 3: Cross multiply
    2,704.97x = 3,732.86 × 1,526.05
  4. Step 4: Simplify right side
    2,704.97x = 5,696,512.34
  5. Step 5: Solve for x
    x = 5,696,512.34/2,704.97
  6. Step 6: Final answer
    x = 2,105.94

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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.