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Finding the Fourth Proportional to 2,095.80, 3,142.02 and 863.82

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Solution

The fourth proportional to 2,095.80, 3,142.02 and 863.82 is: 1,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.80 : 3,142.02 = 863.82 : x
  2. Step 2: Convert to fraction form
    2,095.80/3,142.02 = 863.82/x
  3. Step 3: Cross multiply
    2,095.80x = 3,142.02 × 863.82
  4. Step 4: Simplify right side
    2,095.80x = 2,714,139.72
  5. Step 5: Solve for x
    x = 2,714,139.72/2,095.80
  6. Step 6: Final answer
    x = 1,295.04

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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.