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Finding the Fourth Proportional to 1,226.66, 1,836.32 and 861.24

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Solution

The fourth proportional to 1,226.66, 1,836.32 and 861.24 is: 1,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.66 : 1,836.32 = 861.24 : x
  2. Step 2: Convert to fraction form
    1,226.66/1,836.32 = 861.24/x
  3. Step 3: Cross multiply
    1,226.66x = 1,836.32 × 861.24
  4. Step 4: Simplify right side
    1,226.66x = 1,581,507.93
  5. Step 5: Solve for x
    x = 1,581,507.93/1,226.66
  6. Step 6: Final answer
    x = 1,289.29

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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.