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Finding the Fourth Proportional to 2,824.44, 3,897.72 and 1,565.49

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Solution

The fourth proportional to 2,824.44, 3,897.72 and 1,565.49 is: 2,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.44 : 3,897.72 = 1,565.49 : x
  2. Step 2: Convert to fraction form
    2,824.44/3,897.72 = 1,565.49/x
  3. Step 3: Cross multiply
    2,824.44x = 3,897.72 × 1,565.49
  4. Step 4: Simplify right side
    2,824.44x = 6,101,841.68
  5. Step 5: Solve for x
    x = 6,101,841.68/2,824.44
  6. Step 6: Final answer
    x = 2,160.37

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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.