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Finding the Fourth Proportional to 2,095.97, 3,142.82 and 862.00

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Solution

The fourth proportional to 2,095.97, 3,142.82 and 862.00 is: 1,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.97 : 3,142.82 = 862.00 : x
  2. Step 2: Convert to fraction form
    2,095.97/3,142.82 = 862.00/x
  3. Step 3: Cross multiply
    2,095.97x = 3,142.82 × 862.00
  4. Step 4: Simplify right side
    2,095.97x = 2,709,105.14
  5. Step 5: Solve for x
    x = 2,709,105.14/2,095.97
  6. Step 6: Final answer
    x = 1,292.53

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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.