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Finding the Fourth Proportional to 3,084.78, 4,255.34 and 1,963.74

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Solution

The fourth proportional to 3,084.78, 4,255.34 and 1,963.74 is: 2,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.78 : 4,255.34 = 1,963.74 : x
  2. Step 2: Convert to fraction form
    3,084.78/4,255.34 = 1,963.74/x
  3. Step 3: Cross multiply
    3,084.78x = 4,255.34 × 1,963.74
  4. Step 4: Simplify right side
    3,084.78x = 8,356,387.51
  5. Step 5: Solve for x
    x = 8,356,387.51/3,084.78
  6. Step 6: Final answer
    x = 2,708.91

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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.