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Finding the Fourth Proportional to 2,139.92, 3,208.49 and 1,407.27

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Solution

The fourth proportional to 2,139.92, 3,208.49 and 1,407.27 is: 2,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.92 : 3,208.49 = 1,407.27 : x
  2. Step 2: Convert to fraction form
    2,139.92/3,208.49 = 1,407.27/x
  3. Step 3: Cross multiply
    2,139.92x = 3,208.49 × 1,407.27
  4. Step 4: Simplify right side
    2,139.92x = 4,515,208.20
  5. Step 5: Solve for x
    x = 4,515,208.20/2,139.92
  6. Step 6: Final answer
    x = 2,109.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.