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Finding the Fourth Proportional to 2,109.71, 2,911.91 and 1,225.38

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Solution

The fourth proportional to 2,109.71, 2,911.91 and 1,225.38 is: 1,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.71 : 2,911.91 = 1,225.38 : x
  2. Step 2: Convert to fraction form
    2,109.71/2,911.91 = 1,225.38/x
  3. Step 3: Cross multiply
    2,109.71x = 2,911.91 × 1,225.38
  4. Step 4: Simplify right side
    2,109.71x = 3,568,190.15
  5. Step 5: Solve for x
    x = 3,568,190.15/2,109.71
  6. Step 6: Final answer
    x = 1,691.32

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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.