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Finding the Fourth Proportional to 2,399.96, 3,599.96 and 756.47

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Solution

The fourth proportional to 2,399.96, 3,599.96 and 756.47 is: 1,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.96 : 3,599.96 = 756.47 : x
  2. Step 2: Convert to fraction form
    2,399.96/3,599.96 = 756.47/x
  3. Step 3: Cross multiply
    2,399.96x = 3,599.96 × 756.47
  4. Step 4: Simplify right side
    2,399.96x = 2,723,239.96
  5. Step 5: Solve for x
    x = 2,723,239.96/2,399.96
  6. Step 6: Final answer
    x = 1,134.70

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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.