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Finding the Fourth Proportional to 2,299.97, 3,449.38 and 656.53

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Solution

The fourth proportional to 2,299.97, 3,449.38 and 656.53 is: 984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.97 : 3,449.38 = 656.53 : x
  2. Step 2: Convert to fraction form
    2,299.97/3,449.38 = 656.53/x
  3. Step 3: Cross multiply
    2,299.97x = 3,449.38 × 656.53
  4. Step 4: Simplify right side
    2,299.97x = 2,264,621.45
  5. Step 5: Solve for x
    x = 2,264,621.45/2,299.97
  6. Step 6: Final answer
    x = 984.63

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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.