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Finding the Fourth Proportional to 2,823.77, 3,894.39 and 2,233.28

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Solution

The fourth proportional to 2,823.77, 3,894.39 and 2,233.28 is: 3,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.77 : 3,894.39 = 2,233.28 : x
  2. Step 2: Convert to fraction form
    2,823.77/3,894.39 = 2,233.28/x
  3. Step 3: Cross multiply
    2,823.77x = 3,894.39 × 2,233.28
  4. Step 4: Simplify right side
    2,823.77x = 8,697,243.83
  5. Step 5: Solve for x
    x = 8,697,243.83/2,823.77
  6. Step 6: Final answer
    x = 3,080.02

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Why These Related Problems?

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