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Finding the Fourth Proportional to 2,774, 4,162.08 and 1,042.76

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Solution

The fourth proportional to 2,774, 4,162.08 and 1,042.76 is: 1,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774 : 4,162.08 = 1,042.76 : x
  2. Step 2: Convert to fraction form
    2,774/4,162.08 = 1,042.76/x
  3. Step 3: Cross multiply
    2,774x = 4,162.08 × 1,042.76
  4. Step 4: Simplify right side
    2,774x = 4,340,050.54
  5. Step 5: Solve for x
    x = 4,340,050.54/2,774
  6. Step 6: Final answer
    x = 1,564.55

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Why These Related Problems?

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