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Finding the Fourth Proportional to 2,809.31, 3,874.52 and 2,109.47

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Solution

The fourth proportional to 2,809.31, 3,874.52 and 2,109.47 is: 2,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.31 : 3,874.52 = 2,109.47 : x
  2. Step 2: Convert to fraction form
    2,809.31/3,874.52 = 2,109.47/x
  3. Step 3: Cross multiply
    2,809.31x = 3,874.52 × 2,109.47
  4. Step 4: Simplify right side
    2,809.31x = 8,173,173.16
  5. Step 5: Solve for x
    x = 8,173,173.16/2,809.31
  6. Step 6: Final answer
    x = 2,909.32

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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.