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Finding the Fourth Proportional to 2,226.84, 3,342.27 and 1,187.71

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Solution

The fourth proportional to 2,226.84, 3,342.27 and 1,187.71 is: 1,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.84 : 3,342.27 = 1,187.71 : x
  2. Step 2: Convert to fraction form
    2,226.84/3,342.27 = 1,187.71/x
  3. Step 3: Cross multiply
    2,226.84x = 3,342.27 × 1,187.71
  4. Step 4: Simplify right side
    2,226.84x = 3,969,647.50
  5. Step 5: Solve for x
    x = 3,969,647.50/2,226.84
  6. Step 6: Final answer
    x = 1,782.64

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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.