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Finding the Fourth Proportional to 2,869.38, 3,958.74 and 1,806.66

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Solution

The fourth proportional to 2,869.38, 3,958.74 and 1,806.66 is: 2,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.38 : 3,958.74 = 1,806.66 : x
  2. Step 2: Convert to fraction form
    2,869.38/3,958.74 = 1,806.66/x
  3. Step 3: Cross multiply
    2,869.38x = 3,958.74 × 1,806.66
  4. Step 4: Simplify right side
    2,869.38x = 7,152,097.21
  5. Step 5: Solve for x
    x = 7,152,097.21/2,869.38
  6. Step 6: Final answer
    x = 2,492.56

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Why These Related Problems?

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