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Finding the Fourth Proportional to 2,842.65, 4,264.11 and 762.84

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Solution

The fourth proportional to 2,842.65, 4,264.11 and 762.84 is: 1,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.65 : 4,264.11 = 762.84 : x
  2. Step 2: Convert to fraction form
    2,842.65/4,264.11 = 762.84/x
  3. Step 3: Cross multiply
    2,842.65x = 4,264.11 × 762.84
  4. Step 4: Simplify right side
    2,842.65x = 3,252,833.67
  5. Step 5: Solve for x
    x = 3,252,833.67/2,842.65
  6. Step 6: Final answer
    x = 1,144.30

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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.