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Finding the Fourth Proportional to 2,226.68, 3,339.97 and 666.69

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Solution

The fourth proportional to 2,226.68, 3,339.97 and 666.69 is: 1,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.68 : 3,339.97 = 666.69 : x
  2. Step 2: Convert to fraction form
    2,226.68/3,339.97 = 666.69/x
  3. Step 3: Cross multiply
    2,226.68x = 3,339.97 × 666.69
  4. Step 4: Simplify right side
    2,226.68x = 2,226,724.60
  5. Step 5: Solve for x
    x = 2,226,724.60/2,226.68
  6. Step 6: Final answer
    x = 1,000.02

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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.