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Finding the Fourth Proportional to 3,017.59, 4,526.38 and 826.49

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Solution

The fourth proportional to 3,017.59, 4,526.38 and 826.49 is: 1,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.59 : 4,526.38 = 826.49 : x
  2. Step 2: Convert to fraction form
    3,017.59/4,526.38 = 826.49/x
  3. Step 3: Cross multiply
    3,017.59x = 4,526.38 × 826.49
  4. Step 4: Simplify right side
    3,017.59x = 3,740,987.73
  5. Step 5: Solve for x
    x = 3,740,987.73/3,017.59
  6. Step 6: Final answer
    x = 1,239.73

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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.