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Finding the Fourth Proportional to 2,853.38, 4,253.03 and 2,642.96

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Solution

The fourth proportional to 2,853.38, 4,253.03 and 2,642.96 is: 3,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.38 : 4,253.03 = 2,642.96 : x
  2. Step 2: Convert to fraction form
    2,853.38/4,253.03 = 2,642.96/x
  3. Step 3: Cross multiply
    2,853.38x = 4,253.03 × 2,642.96
  4. Step 4: Simplify right side
    2,853.38x = 11,240,553.69
  5. Step 5: Solve for x
    x = 11,240,553.69/2,853.38
  6. Step 6: Final answer
    x = 3,939.39

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