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Finding the Fourth Proportional to 2,886.23, 3,983.10 and 1,767.67

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Solution

The fourth proportional to 2,886.23, 3,983.10 and 1,767.67 is: 2,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.23 : 3,983.10 = 1,767.67 : x
  2. Step 2: Convert to fraction form
    2,886.23/3,983.10 = 1,767.67/x
  3. Step 3: Cross multiply
    2,886.23x = 3,983.10 × 1,767.67
  4. Step 4: Simplify right side
    2,886.23x = 7,040,806.38
  5. Step 5: Solve for x
    x = 7,040,806.38/2,886.23
  6. Step 6: Final answer
    x = 2,439.45

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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.