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Finding the Fourth Proportional to 2,249.72, 3,106.52 and 1,411.82

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Solution

The fourth proportional to 2,249.72, 3,106.52 and 1,411.82 is: 1,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.72 : 3,106.52 = 1,411.82 : x
  2. Step 2: Convert to fraction form
    2,249.72/3,106.52 = 1,411.82/x
  3. Step 3: Cross multiply
    2,249.72x = 3,106.52 × 1,411.82
  4. Step 4: Simplify right side
    2,249.72x = 4,385,824.47
  5. Step 5: Solve for x
    x = 4,385,824.47/2,249.72
  6. Step 6: Final answer
    x = 1,949.50

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