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Finding the Fourth Proportional to 2,710.08, 4,065.13 and 762.29

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Solution

The fourth proportional to 2,710.08, 4,065.13 and 762.29 is: 1,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.08 : 4,065.13 = 762.29 : x
  2. Step 2: Convert to fraction form
    2,710.08/4,065.13 = 762.29/x
  3. Step 3: Cross multiply
    2,710.08x = 4,065.13 × 762.29
  4. Step 4: Simplify right side
    2,710.08x = 3,098,795.88
  5. Step 5: Solve for x
    x = 3,098,795.88/2,710.08
  6. Step 6: Final answer
    x = 1,143.43

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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.