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Finding the Fourth Proportional to 2,013.35, 3,020.56 and 842.73

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Solution

The fourth proportional to 2,013.35, 3,020.56 and 842.73 is: 1,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.35 : 3,020.56 = 842.73 : x
  2. Step 2: Convert to fraction form
    2,013.35/3,020.56 = 842.73/x
  3. Step 3: Cross multiply
    2,013.35x = 3,020.56 × 842.73
  4. Step 4: Simplify right side
    2,013.35x = 2,545,516.53
  5. Step 5: Solve for x
    x = 2,545,516.53/2,013.35
  6. Step 6: Final answer
    x = 1,264.32

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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.