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Finding the Fourth Proportional to 2,109.38, 2,911.88 and 1,323.88

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Solution

The fourth proportional to 2,109.38, 2,911.88 and 1,323.88 is: 1,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.38 : 2,911.88 = 1,323.88 : x
  2. Step 2: Convert to fraction form
    2,109.38/2,911.88 = 1,323.88/x
  3. Step 3: Cross multiply
    2,109.38x = 2,911.88 × 1,323.88
  4. Step 4: Simplify right side
    2,109.38x = 3,854,975.72
  5. Step 5: Solve for x
    x = 3,854,975.72/2,109.38
  6. Step 6: Final answer
    x = 1,827.54

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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.