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Finding the Fourth Proportional to 2,162.87, 3,244.50 and 1,302.65

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Solution

The fourth proportional to 2,162.87, 3,244.50 and 1,302.65 is: 1,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.87 : 3,244.50 = 1,302.65 : x
  2. Step 2: Convert to fraction form
    2,162.87/3,244.50 = 1,302.65/x
  3. Step 3: Cross multiply
    2,162.87x = 3,244.50 × 1,302.65
  4. Step 4: Simplify right side
    2,162.87x = 4,226,447.93
  5. Step 5: Solve for x
    x = 4,226,447.93/2,162.87
  6. Step 6: Final answer
    x = 1,954.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.