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Finding the Fourth Proportional to 2,109.78, 2,911.30 and 1,225.57

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Solution

The fourth proportional to 2,109.78, 2,911.30 and 1,225.57 is: 1,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.78 : 2,911.30 = 1,225.57 : x
  2. Step 2: Convert to fraction form
    2,109.78/2,911.30 = 1,225.57/x
  3. Step 3: Cross multiply
    2,109.78x = 2,911.30 × 1,225.57
  4. Step 4: Simplify right side
    2,109.78x = 3,568,001.94
  5. Step 5: Solve for x
    x = 3,568,001.94/2,109.78
  6. Step 6: Final answer
    x = 1,691.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.