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Finding the Fourth Proportional to 2,208.61, 3,046.61 and 1,323.90

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Solution

The fourth proportional to 2,208.61, 3,046.61 and 1,323.90 is: 1,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.61 : 3,046.61 = 1,323.90 : x
  2. Step 2: Convert to fraction form
    2,208.61/3,046.61 = 1,323.90/x
  3. Step 3: Cross multiply
    2,208.61x = 3,046.61 × 1,323.90
  4. Step 4: Simplify right side
    2,208.61x = 4,033,410.29
  5. Step 5: Solve for x
    x = 4,033,410.29/2,208.61
  6. Step 6: Final answer
    x = 1,826.22

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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.