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Finding the Fourth Proportional to 2,138.92, 3,209.07 and 1,316.07

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Solution

The fourth proportional to 2,138.92, 3,209.07 and 1,316.07 is: 1,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.92 : 3,209.07 = 1,316.07 : x
  2. Step 2: Convert to fraction form
    2,138.92/3,209.07 = 1,316.07/x
  3. Step 3: Cross multiply
    2,138.92x = 3,209.07 × 1,316.07
  4. Step 4: Simplify right side
    2,138.92x = 4,223,360.75
  5. Step 5: Solve for x
    x = 4,223,360.75/2,138.92
  6. Step 6: Final answer
    x = 1,974.53

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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.