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Finding the Fourth Proportional to 2,061.76, 3,092.64 and 762.88

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Solution

The fourth proportional to 2,061.76, 3,092.64 and 762.88 is: 1,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.76 : 3,092.64 = 762.88 : x
  2. Step 2: Convert to fraction form
    2,061.76/3,092.64 = 762.88/x
  3. Step 3: Cross multiply
    2,061.76x = 3,092.64 × 762.88
  4. Step 4: Simplify right side
    2,061.76x = 2,359,313.20
  5. Step 5: Solve for x
    x = 2,359,313.20/2,061.76
  6. Step 6: Final answer
    x = 1,144.32

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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.