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Finding the Fourth Proportional to 2,095.32, 3,140.22 and 861.27

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Solution

The fourth proportional to 2,095.32, 3,140.22 and 861.27 is: 1,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.32 : 3,140.22 = 861.27 : x
  2. Step 2: Convert to fraction form
    2,095.32/3,140.22 = 861.27/x
  3. Step 3: Cross multiply
    2,095.32x = 3,140.22 × 861.27
  4. Step 4: Simplify right side
    2,095.32x = 2,704,577.28
  5. Step 5: Solve for x
    x = 2,704,577.28/2,095.32
  6. Step 6: Final answer
    x = 1,290.77

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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.