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Finding the Fourth Proportional to 2,236.71, 3,083.34 and 1,920.45

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Solution

The fourth proportional to 2,236.71, 3,083.34 and 1,920.45 is: 2,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.71 : 3,083.34 = 1,920.45 : x
  2. Step 2: Convert to fraction form
    2,236.71/3,083.34 = 1,920.45/x
  3. Step 3: Cross multiply
    2,236.71x = 3,083.34 × 1,920.45
  4. Step 4: Simplify right side
    2,236.71x = 5,921,400.30
  5. Step 5: Solve for x
    x = 5,921,400.30/2,236.71
  6. Step 6: Final answer
    x = 2,647.37

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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.