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Finding the Fourth Proportional to 2,095.27, 3,141.38 and 862.25

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Solution

The fourth proportional to 2,095.27, 3,141.38 and 862.25 is: 1,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.27 : 3,141.38 = 862.25 : x
  2. Step 2: Convert to fraction form
    2,095.27/3,141.38 = 862.25/x
  3. Step 3: Cross multiply
    2,095.27x = 3,141.38 × 862.25
  4. Step 4: Simplify right side
    2,095.27x = 2,708,641.35
  5. Step 5: Solve for x
    x = 2,708,641.35/2,095.27
  6. Step 6: Final answer
    x = 1,292.74

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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.