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Finding the Fourth Proportional to 2,892.84, 4,339.86 and 1,249.48

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Solution

The fourth proportional to 2,892.84, 4,339.86 and 1,249.48 is: 1,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.84 : 4,339.86 = 1,249.48 : x
  2. Step 2: Convert to fraction form
    2,892.84/4,339.86 = 1,249.48/x
  3. Step 3: Cross multiply
    2,892.84x = 4,339.86 × 1,249.48
  4. Step 4: Simplify right side
    2,892.84x = 5,422,568.27
  5. Step 5: Solve for x
    x = 5,422,568.27/2,892.84
  6. Step 6: Final answer
    x = 1,874.48

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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.