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Finding the Fourth Proportional to 2,109.85, 2,911.53 and 1,324.33

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Solution

The fourth proportional to 2,109.85, 2,911.53 and 1,324.33 is: 1,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.85 : 2,911.53 = 1,324.33 : x
  2. Step 2: Convert to fraction form
    2,109.85/2,911.53 = 1,324.33/x
  3. Step 3: Cross multiply
    2,109.85x = 2,911.53 × 1,324.33
  4. Step 4: Simplify right side
    2,109.85x = 3,855,826.52
  5. Step 5: Solve for x
    x = 3,855,826.52/2,109.85
  6. Step 6: Final answer
    x = 1,827.54

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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.