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Finding the Fourth Proportional to 2,379.70, 3,282.42 and 1,820.26

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Solution

The fourth proportional to 2,379.70, 3,282.42 and 1,820.26 is: 2,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.70 : 3,282.42 = 1,820.26 : x
  2. Step 2: Convert to fraction form
    2,379.70/3,282.42 = 1,820.26/x
  3. Step 3: Cross multiply
    2,379.70x = 3,282.42 × 1,820.26
  4. Step 4: Simplify right side
    2,379.70x = 5,974,857.83
  5. Step 5: Solve for x
    x = 5,974,857.83/2,379.70
  6. Step 6: Final answer
    x = 2,510.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.