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Finding the Fourth Proportional to 2,801.68, 4,201.53 and 826.78

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Solution

The fourth proportional to 2,801.68, 4,201.53 and 826.78 is: 1,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.68 : 4,201.53 = 826.78 : x
  2. Step 2: Convert to fraction form
    2,801.68/4,201.53 = 826.78/x
  3. Step 3: Cross multiply
    2,801.68x = 4,201.53 × 826.78
  4. Step 4: Simplify right side
    2,801.68x = 3,473,740.97
  5. Step 5: Solve for x
    x = 3,473,740.97/2,801.68
  6. Step 6: Final answer
    x = 1,239.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.