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Finding the Fourth Proportional to 2,775.82, 4,164.24 and 926.76

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Solution

The fourth proportional to 2,775.82, 4,164.24 and 926.76 is: 1,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.82 : 4,164.24 = 926.76 : x
  2. Step 2: Convert to fraction form
    2,775.82/4,164.24 = 926.76/x
  3. Step 3: Cross multiply
    2,775.82x = 4,164.24 × 926.76
  4. Step 4: Simplify right side
    2,775.82x = 3,859,251.06
  5. Step 5: Solve for x
    x = 3,859,251.06/2,775.82
  6. Step 6: Final answer
    x = 1,390.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.