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Finding the Fourth Proportional to 2,884.86, 4,324.77 and 2,448.93

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Solution

The fourth proportional to 2,884.86, 4,324.77 and 2,448.93 is: 3,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.86 : 4,324.77 = 2,448.93 : x
  2. Step 2: Convert to fraction form
    2,884.86/4,324.77 = 2,448.93/x
  3. Step 3: Cross multiply
    2,884.86x = 4,324.77 × 2,448.93
  4. Step 4: Simplify right side
    2,884.86x = 10,591,059.00
  5. Step 5: Solve for x
    x = 10,591,059.00/2,884.86
  6. Step 6: Final answer
    x = 3,671.26

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Why These Related Problems?

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