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Finding the Fourth Proportional to 2,815.61, 3,883.18 and 2,109.11

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Solution

The fourth proportional to 2,815.61, 3,883.18 and 2,109.11 is: 2,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.61 : 3,883.18 = 2,109.11 : x
  2. Step 2: Convert to fraction form
    2,815.61/3,883.18 = 2,109.11/x
  3. Step 3: Cross multiply
    2,815.61x = 3,883.18 × 2,109.11
  4. Step 4: Simplify right side
    2,815.61x = 8,190,043.64
  5. Step 5: Solve for x
    x = 8,190,043.64/2,815.61
  6. Step 6: Final answer
    x = 2,908.80

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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.