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Finding the Fourth Proportional to 2,889.09, 4,312.74 and 2,538.78

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Solution

The fourth proportional to 2,889.09, 4,312.74 and 2,538.78 is: 3,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.09 : 4,312.74 = 2,538.78 : x
  2. Step 2: Convert to fraction form
    2,889.09/4,312.74 = 2,538.78/x
  3. Step 3: Cross multiply
    2,889.09x = 4,312.74 × 2,538.78
  4. Step 4: Simplify right side
    2,889.09x = 10,949,098.06
  5. Step 5: Solve for x
    x = 10,949,098.06/2,889.09
  6. Step 6: Final answer
    x = 3,789.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.