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Finding the Fourth Proportional to 2,224.51, 3,067.94 and 1,340.12

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Solution

The fourth proportional to 2,224.51, 3,067.94 and 1,340.12 is: 1,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.51 : 3,067.94 = 1,340.12 : x
  2. Step 2: Convert to fraction form
    2,224.51/3,067.94 = 1,340.12/x
  3. Step 3: Cross multiply
    2,224.51x = 3,067.94 × 1,340.12
  4. Step 4: Simplify right side
    2,224.51x = 4,111,418.77
  5. Step 5: Solve for x
    x = 4,111,418.77/2,224.51
  6. Step 6: Final answer
    x = 1,848.24

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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.