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Finding the Fourth Proportional to 2,774.44, 4,160.78 and 826.76

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Solution

The fourth proportional to 2,774.44, 4,160.78 and 826.76 is: 1,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.44 : 4,160.78 = 826.76 : x
  2. Step 2: Convert to fraction form
    2,774.44/4,160.78 = 826.76/x
  3. Step 3: Cross multiply
    2,774.44x = 4,160.78 × 826.76
  4. Step 4: Simplify right side
    2,774.44x = 3,439,966.47
  5. Step 5: Solve for x
    x = 3,439,966.47/2,774.44
  6. Step 6: Final answer
    x = 1,239.88

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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.