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Finding the Fourth Proportional to 3,017.82, 4,526.21 and 826.03

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Solution

The fourth proportional to 3,017.82, 4,526.21 and 826.03 is: 1,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.82 : 4,526.21 = 826.03 : x
  2. Step 2: Convert to fraction form
    3,017.82/4,526.21 = 826.03/x
  3. Step 3: Cross multiply
    3,017.82x = 4,526.21 × 826.03
  4. Step 4: Simplify right side
    3,017.82x = 3,738,758.49
  5. Step 5: Solve for x
    x = 3,738,758.49/3,017.82
  6. Step 6: Final answer
    x = 1,238.89

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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.