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Finding the Fourth Proportional to 2,806.30, 3,869.13 and 1,920.70

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Solution

The fourth proportional to 2,806.30, 3,869.13 and 1,920.70 is: 2,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.30 : 3,869.13 = 1,920.70 : x
  2. Step 2: Convert to fraction form
    2,806.30/3,869.13 = 1,920.70/x
  3. Step 3: Cross multiply
    2,806.30x = 3,869.13 × 1,920.70
  4. Step 4: Simplify right side
    2,806.30x = 7,431,437.99
  5. Step 5: Solve for x
    x = 7,431,437.99/2,806.30
  6. Step 6: Final answer
    x = 2,648.13

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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.