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Finding the Fourth Proportional to 2,299.76, 3,449.74 and 739.83

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Solution

The fourth proportional to 2,299.76, 3,449.74 and 739.83 is: 1,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.76 : 3,449.74 = 739.83 : x
  2. Step 2: Convert to fraction form
    2,299.76/3,449.74 = 739.83/x
  3. Step 3: Cross multiply
    2,299.76x = 3,449.74 × 739.83
  4. Step 4: Simplify right side
    2,299.76x = 2,552,219.29
  5. Step 5: Solve for x
    x = 2,552,219.29/2,299.76
  6. Step 6: Final answer
    x = 1,109.78

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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.