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Finding the Fourth Proportional to 2,543.29, 3,809.49 and 1,920.13

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Solution

The fourth proportional to 2,543.29, 3,809.49 and 1,920.13 is: 2,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.29 : 3,809.49 = 1,920.13 : x
  2. Step 2: Convert to fraction form
    2,543.29/3,809.49 = 1,920.13/x
  3. Step 3: Cross multiply
    2,543.29x = 3,809.49 × 1,920.13
  4. Step 4: Simplify right side
    2,543.29x = 7,314,716.03
  5. Step 5: Solve for x
    x = 7,314,716.03/2,543.29
  6. Step 6: Final answer
    x = 2,876.08

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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.