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Finding the Fourth Proportional to 2,774.48, 4,162.41 and 826.65

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Solution

The fourth proportional to 2,774.48, 4,162.41 and 826.65 is: 1,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.48 : 4,162.41 = 826.65 : x
  2. Step 2: Convert to fraction form
    2,774.48/4,162.41 = 826.65/x
  3. Step 3: Cross multiply
    2,774.48x = 4,162.41 × 826.65
  4. Step 4: Simplify right side
    2,774.48x = 3,440,856.23
  5. Step 5: Solve for x
    x = 3,440,856.23/2,774.48
  6. Step 6: Final answer
    x = 1,240.18

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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.