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Finding the Fourth Proportional to 2,780.36, 3,830.22 and 2,338.28

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Solution

The fourth proportional to 2,780.36, 3,830.22 and 2,338.28 is: 3,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.36 : 3,830.22 = 2,338.28 : x
  2. Step 2: Convert to fraction form
    2,780.36/3,830.22 = 2,338.28/x
  3. Step 3: Cross multiply
    2,780.36x = 3,830.22 × 2,338.28
  4. Step 4: Simplify right side
    2,780.36x = 8,956,126.82
  5. Step 5: Solve for x
    x = 8,956,126.82/2,780.36
  6. Step 6: Final answer
    x = 3,221.21

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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.