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Finding the Fourth Proportional to 2,846.94, 4,264.65 and 2,224.86

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Solution

The fourth proportional to 2,846.94, 4,264.65 and 2,224.86 is: 3,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.94 : 4,264.65 = 2,224.86 : x
  2. Step 2: Convert to fraction form
    2,846.94/4,264.65 = 2,224.86/x
  3. Step 3: Cross multiply
    2,846.94x = 4,264.65 × 2,224.86
  4. Step 4: Simplify right side
    2,846.94x = 9,488,249.20
  5. Step 5: Solve for x
    x = 9,488,249.20/2,846.94
  6. Step 6: Final answer
    x = 3,332.79

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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.