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Finding the Fourth Proportional to 2,226.77, 3,340.11 and 666.74

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Solution

The fourth proportional to 2,226.77, 3,340.11 and 666.74 is: 1,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.77 : 3,340.11 = 666.74 : x
  2. Step 2: Convert to fraction form
    2,226.77/3,340.11 = 666.74/x
  3. Step 3: Cross multiply
    2,226.77x = 3,340.11 × 666.74
  4. Step 4: Simplify right side
    2,226.77x = 2,226,984.94
  5. Step 5: Solve for x
    x = 2,226,984.94/2,226.77
  6. Step 6: Final answer
    x = 1,000.10

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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.