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Finding the Fourth Proportional to 2,726.33, 4,090.97 and 2,111.24

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Solution

The fourth proportional to 2,726.33, 4,090.97 and 2,111.24 is: 3,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.33 : 4,090.97 = 2,111.24 : x
  2. Step 2: Convert to fraction form
    2,726.33/4,090.97 = 2,111.24/x
  3. Step 3: Cross multiply
    2,726.33x = 4,090.97 × 2,111.24
  4. Step 4: Simplify right side
    2,726.33x = 8,637,019.50
  5. Step 5: Solve for x
    x = 8,637,019.50/2,726.33
  6. Step 6: Final answer
    x = 3,168.00

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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.