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Finding the Fourth Proportional to 2,842.70, 4,264.26 and 762.70

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Solution

The fourth proportional to 2,842.70, 4,264.26 and 762.70 is: 1,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.70 : 4,264.26 = 762.70 : x
  2. Step 2: Convert to fraction form
    2,842.70/4,264.26 = 762.70/x
  3. Step 3: Cross multiply
    2,842.70x = 4,264.26 × 762.70
  4. Step 4: Simplify right side
    2,842.70x = 3,252,351.10
  5. Step 5: Solve for x
    x = 3,252,351.10/2,842.70
  6. Step 6: Final answer
    x = 1,144.11

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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.