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Finding the Fourth Proportional to 2,774.74, 4,161.39 and 1,542.82

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Solution

The fourth proportional to 2,774.74, 4,161.39 and 1,542.82 is: 2,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.74 : 4,161.39 = 1,542.82 : x
  2. Step 2: Convert to fraction form
    2,774.74/4,161.39 = 1,542.82/x
  3. Step 3: Cross multiply
    2,774.74x = 4,161.39 × 1,542.82
  4. Step 4: Simplify right side
    2,774.74x = 6,420,275.72
  5. Step 5: Solve for x
    x = 6,420,275.72/2,774.74
  6. Step 6: Final answer
    x = 2,313.83

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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.