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Finding the Fourth Proportional to 2,095.18, 3,142.77 and 861.72

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Solution

The fourth proportional to 2,095.18, 3,142.77 and 861.72 is: 1,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.18 : 3,142.77 = 861.72 : x
  2. Step 2: Convert to fraction form
    2,095.18/3,142.77 = 861.72/x
  3. Step 3: Cross multiply
    2,095.18x = 3,142.77 × 861.72
  4. Step 4: Simplify right side
    2,095.18x = 2,708,187.76
  5. Step 5: Solve for x
    x = 2,708,187.76/2,095.18
  6. Step 6: Final answer
    x = 1,292.58

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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.