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Finding the Fourth Proportional to 2,139.23, 3,208.29 and 906.01

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Solution

The fourth proportional to 2,139.23, 3,208.29 and 906.01 is: 1,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.23 : 3,208.29 = 906.01 : x
  2. Step 2: Convert to fraction form
    2,139.23/3,208.29 = 906.01/x
  3. Step 3: Cross multiply
    2,139.23x = 3,208.29 × 906.01
  4. Step 4: Simplify right side
    2,139.23x = 2,906,722.25
  5. Step 5: Solve for x
    x = 2,906,722.25/2,139.23
  6. Step 6: Final answer
    x = 1,358.77

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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.