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Finding the Fourth Proportional to 2,226.91, 3,073.24 and 1,342.99

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Solution

The fourth proportional to 2,226.91, 3,073.24 and 1,342.99 is: 1,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.91 : 3,073.24 = 1,342.99 : x
  2. Step 2: Convert to fraction form
    2,226.91/3,073.24 = 1,342.99/x
  3. Step 3: Cross multiply
    2,226.91x = 3,073.24 × 1,342.99
  4. Step 4: Simplify right side
    2,226.91x = 4,127,330.59
  5. Step 5: Solve for x
    x = 4,127,330.59/2,226.91
  6. Step 6: Final answer
    x = 1,853.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.