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Finding the Fourth Proportional to 2,981.59, 4,115.12 and 1,863.25

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Solution

The fourth proportional to 2,981.59, 4,115.12 and 1,863.25 is: 2,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.59 : 4,115.12 = 1,863.25 : x
  2. Step 2: Convert to fraction form
    2,981.59/4,115.12 = 1,863.25/x
  3. Step 3: Cross multiply
    2,981.59x = 4,115.12 × 1,863.25
  4. Step 4: Simplify right side
    2,981.59x = 7,667,477.74
  5. Step 5: Solve for x
    x = 7,667,477.74/2,981.59
  6. Step 6: Final answer
    x = 2,571.61

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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.