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Finding the Fourth Proportional to 2,249.64, 3,377.34 and 1,429.56

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Solution

The fourth proportional to 2,249.64, 3,377.34 and 1,429.56 is: 2,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.64 : 3,377.34 = 1,429.56 : x
  2. Step 2: Convert to fraction form
    2,249.64/3,377.34 = 1,429.56/x
  3. Step 3: Cross multiply
    2,249.64x = 3,377.34 × 1,429.56
  4. Step 4: Simplify right side
    2,249.64x = 4,828,110.17
  5. Step 5: Solve for x
    x = 4,828,110.17/2,249.64
  6. Step 6: Final answer
    x = 2,146.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.