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Finding the Fourth Proportional to 2,054.92, 2,841.20 and 1,963.12

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Solution

The fourth proportional to 2,054.92, 2,841.20 and 1,963.12 is: 2,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.92 : 2,841.20 = 1,963.12 : x
  2. Step 2: Convert to fraction form
    2,054.92/2,841.20 = 1,963.12/x
  3. Step 3: Cross multiply
    2,054.92x = 2,841.20 × 1,963.12
  4. Step 4: Simplify right side
    2,054.92x = 5,577,606.73
  5. Step 5: Solve for x
    x = 5,577,606.73/2,054.92
  6. Step 6: Final answer
    x = 2,714.27

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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.