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Finding the Fourth Proportional to 2,299.49, 3,449.40 and 656.17

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Solution

The fourth proportional to 2,299.49, 3,449.40 and 656.17 is: 984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.49 : 3,449.40 = 656.17 : x
  2. Step 2: Convert to fraction form
    2,299.49/3,449.40 = 656.17/x
  3. Step 3: Cross multiply
    2,299.49x = 3,449.40 × 656.17
  4. Step 4: Simplify right side
    2,299.49x = 2,263,392.80
  5. Step 5: Solve for x
    x = 2,263,392.80/2,299.49
  6. Step 6: Final answer
    x = 984.30

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1.5x scale

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.