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Finding the Fourth Proportional to 2,644.29, 3,644.91 and 2,083.86

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Solution

The fourth proportional to 2,644.29, 3,644.91 and 2,083.86 is: 2,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.29 : 3,644.91 = 2,083.86 : x
  2. Step 2: Convert to fraction form
    2,644.29/3,644.91 = 2,083.86/x
  3. Step 3: Cross multiply
    2,644.29x = 3,644.91 × 2,083.86
  4. Step 4: Simplify right side
    2,644.29x = 7,595,482.15
  5. Step 5: Solve for x
    x = 7,595,482.15/2,644.29
  6. Step 6: Final answer
    x = 2,872.41

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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.