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Finding the Fourth Proportional to 2,830.66, 4,244.41 and 2,249.38

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Solution

The fourth proportional to 2,830.66, 4,244.41 and 2,249.38 is: 3,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.66 : 4,244.41 = 2,249.38 : x
  2. Step 2: Convert to fraction form
    2,830.66/4,244.41 = 2,249.38/x
  3. Step 3: Cross multiply
    2,830.66x = 4,244.41 × 2,249.38
  4. Step 4: Simplify right side
    2,830.66x = 9,547,290.97
  5. Step 5: Solve for x
    x = 9,547,290.97/2,830.66
  6. Step 6: Final answer
    x = 3,372.81

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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.