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Finding the Fourth Proportional to 2,226.86, 3,340.89 and 666.93

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Solution

The fourth proportional to 2,226.86, 3,340.89 and 666.93 is: 1,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.86 : 3,340.89 = 666.93 : x
  2. Step 2: Convert to fraction form
    2,226.86/3,340.89 = 666.93/x
  3. Step 3: Cross multiply
    2,226.86x = 3,340.89 × 666.93
  4. Step 4: Simplify right side
    2,226.86x = 2,228,139.77
  5. Step 5: Solve for x
    x = 2,228,139.77/2,226.86
  6. Step 6: Final answer
    x = 1,000.58

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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.