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Finding the Fourth Proportional to 2,118.57, 3,174.22 and 1,020.61

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Solution

The fourth proportional to 2,118.57, 3,174.22 and 1,020.61 is: 1,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.57 : 3,174.22 = 1,020.61 : x
  2. Step 2: Convert to fraction form
    2,118.57/3,174.22 = 1,020.61/x
  3. Step 3: Cross multiply
    2,118.57x = 3,174.22 × 1,020.61
  4. Step 4: Simplify right side
    2,118.57x = 3,239,640.67
  5. Step 5: Solve for x
    x = 3,239,640.67/2,118.57
  6. Step 6: Final answer
    x = 1,529.16

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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.