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Finding the Fourth Proportional to 2,808.31, 3,873.13 and 2,108.47

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Solution

The fourth proportional to 2,808.31, 3,873.13 and 2,108.47 is: 2,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.31 : 3,873.13 = 2,108.47 : x
  2. Step 2: Convert to fraction form
    2,808.31/3,873.13 = 2,108.47/x
  3. Step 3: Cross multiply
    2,808.31x = 3,873.13 × 2,108.47
  4. Step 4: Simplify right side
    2,808.31x = 8,166,378.41
  5. Step 5: Solve for x
    x = 8,166,378.41/2,808.31
  6. Step 6: Final answer
    x = 2,907.93

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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.