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Finding the Fourth Proportional to 2,618.16, 3,920.16 and 2,095.68

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Solution

The fourth proportional to 2,618.16, 3,920.16 and 2,095.68 is: 3,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.16 : 3,920.16 = 2,095.68 : x
  2. Step 2: Convert to fraction form
    2,618.16/3,920.16 = 2,095.68/x
  3. Step 3: Cross multiply
    2,618.16x = 3,920.16 × 2,095.68
  4. Step 4: Simplify right side
    2,618.16x = 8,215,400.91
  5. Step 5: Solve for x
    x = 8,215,400.91/2,618.16
  6. Step 6: Final answer
    x = 3,137.85

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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.