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Finding the Fourth Proportional to 2,109.93, 3,161.40 and 938.17

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Solution

The fourth proportional to 2,109.93, 3,161.40 and 938.17 is: 1,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.93 : 3,161.40 = 938.17 : x
  2. Step 2: Convert to fraction form
    2,109.93/3,161.40 = 938.17/x
  3. Step 3: Cross multiply
    2,109.93x = 3,161.40 × 938.17
  4. Step 4: Simplify right side
    2,109.93x = 2,965,930.64
  5. Step 5: Solve for x
    x = 2,965,930.64/2,109.93
  6. Step 6: Final answer
    x = 1,405.70

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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.