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Finding the Fourth Proportional to 2,981.74, 4,113.97 and 1,863.82

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Solution

The fourth proportional to 2,981.74, 4,113.97 and 1,863.82 is: 2,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.74 : 4,113.97 = 1,863.82 : x
  2. Step 2: Convert to fraction form
    2,981.74/4,113.97 = 1,863.82/x
  3. Step 3: Cross multiply
    2,981.74x = 4,113.97 × 1,863.82
  4. Step 4: Simplify right side
    2,981.74x = 7,667,699.57
  5. Step 5: Solve for x
    x = 7,667,699.57/2,981.74
  6. Step 6: Final answer
    x = 2,571.55

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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.