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Finding the Fourth Proportional to 3,017.81, 4,526.72 and 826.56

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Solution

The fourth proportional to 3,017.81, 4,526.72 and 826.56 is: 1,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.81 : 4,526.72 = 826.56 : x
  2. Step 2: Convert to fraction form
    3,017.81/4,526.72 = 826.56/x
  3. Step 3: Cross multiply
    3,017.81x = 4,526.72 × 826.56
  4. Step 4: Simplify right side
    3,017.81x = 3,741,605.68
  5. Step 5: Solve for x
    x = 3,741,605.68/3,017.81
  6. Step 6: Final answer
    x = 1,239.84

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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.