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Finding the Fourth Proportional to 2,273.87, 3,407.16 and 2,055.17

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Solution

The fourth proportional to 2,273.87, 3,407.16 and 2,055.17 is: 3,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.87 : 3,407.16 = 2,055.17 : x
  2. Step 2: Convert to fraction form
    2,273.87/3,407.16 = 2,055.17/x
  3. Step 3: Cross multiply
    2,273.87x = 3,407.16 × 2,055.17
  4. Step 4: Simplify right side
    2,273.87x = 7,002,265.71
  5. Step 5: Solve for x
    x = 7,002,265.71/2,273.87
  6. Step 6: Final answer
    x = 3,079.46

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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.