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Finding the Fourth Proportional to 2,675.18, 4,013.04 and 826.50

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Solution

The fourth proportional to 2,675.18, 4,013.04 and 826.50 is: 1,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.18 : 4,013.04 = 826.50 : x
  2. Step 2: Convert to fraction form
    2,675.18/4,013.04 = 826.50/x
  3. Step 3: Cross multiply
    2,675.18x = 4,013.04 × 826.50
  4. Step 4: Simplify right side
    2,675.18x = 3,316,777.56
  5. Step 5: Solve for x
    x = 3,316,777.56/2,675.18
  6. Step 6: Final answer
    x = 1,239.83

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Why These Related Problems?

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