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Finding the Fourth Proportional to 2,226.78, 3,340.14 and 687.78

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Solution

The fourth proportional to 2,226.78, 3,340.14 and 687.78 is: 1,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.78 : 3,340.14 = 687.78 : x
  2. Step 2: Convert to fraction form
    2,226.78/3,340.14 = 687.78/x
  3. Step 3: Cross multiply
    2,226.78x = 3,340.14 × 687.78
  4. Step 4: Simplify right side
    2,226.78x = 2,297,281.49
  5. Step 5: Solve for x
    x = 2,297,281.49/2,226.78
  6. Step 6: Final answer
    x = 1,031.66

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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.