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Finding the Fourth Proportional to 2,224.54, 3,071.04 and 1,726.06

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Solution

The fourth proportional to 2,224.54, 3,071.04 and 1,726.06 is: 2,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.54 : 3,071.04 = 1,726.06 : x
  2. Step 2: Convert to fraction form
    2,224.54/3,071.04 = 1,726.06/x
  3. Step 3: Cross multiply
    2,224.54x = 3,071.04 × 1,726.06
  4. Step 4: Simplify right side
    2,224.54x = 5,300,799.30
  5. Step 5: Solve for x
    x = 5,300,799.30/2,224.54
  6. Step 6: Final answer
    x = 2,382.87

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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.