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Finding the Fourth Proportional to 2,874.65, 3,964.83 and 2,166.71

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Solution

The fourth proportional to 2,874.65, 3,964.83 and 2,166.71 is: 2,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.65 : 3,964.83 = 2,166.71 : x
  2. Step 2: Convert to fraction form
    2,874.65/3,964.83 = 2,166.71/x
  3. Step 3: Cross multiply
    2,874.65x = 3,964.83 × 2,166.71
  4. Step 4: Simplify right side
    2,874.65x = 8,590,636.81
  5. Step 5: Solve for x
    x = 8,590,636.81/2,874.65
  6. Step 6: Final answer
    x = 2,988.41

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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.