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Finding the Fourth Proportional to 2,886.22, 3,981.81 and 2,214.15

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Solution

The fourth proportional to 2,886.22, 3,981.81 and 2,214.15 is: 3,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.22 : 3,981.81 = 2,214.15 : x
  2. Step 2: Convert to fraction form
    2,886.22/3,981.81 = 2,214.15/x
  3. Step 3: Cross multiply
    2,886.22x = 3,981.81 × 2,214.15
  4. Step 4: Simplify right side
    2,886.22x = 8,816,317.98
  5. Step 5: Solve for x
    x = 8,816,317.98/2,886.22
  6. Step 6: Final answer
    x = 3,054.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.