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Finding the Fourth Proportional to 2,226.86, 3,073 and 1,232.08

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Solution

The fourth proportional to 2,226.86, 3,073 and 1,232.08 is: 1,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.86 : 3,073 = 1,232.08 : x
  2. Step 2: Convert to fraction form
    2,226.86/3,073 = 1,232.08/x
  3. Step 3: Cross multiply
    2,226.86x = 3,073 × 1,232.08
  4. Step 4: Simplify right side
    2,226.86x = 3,786,181.84
  5. Step 5: Solve for x
    x = 3,786,181.84/2,226.86
  6. Step 6: Final answer
    x = 1,700.23

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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.