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Finding the Fourth Proportional to 2,224.97, 3,335.63 and 1,184.32

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Solution

The fourth proportional to 2,224.97, 3,335.63 and 1,184.32 is: 1,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.97 : 3,335.63 = 1,184.32 : x
  2. Step 2: Convert to fraction form
    2,224.97/3,335.63 = 1,184.32/x
  3. Step 3: Cross multiply
    2,224.97x = 3,335.63 × 1,184.32
  4. Step 4: Simplify right side
    2,224.97x = 3,950,458.23
  5. Step 5: Solve for x
    x = 3,950,458.23/2,224.97
  6. Step 6: Final answer
    x = 1,775.51

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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.