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Finding the Fourth Proportional to 3,119.66, 4,304.10 and 2,057.96

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Solution

The fourth proportional to 3,119.66, 4,304.10 and 2,057.96 is: 2,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.66 : 4,304.10 = 2,057.96 : x
  2. Step 2: Convert to fraction form
    3,119.66/4,304.10 = 2,057.96/x
  3. Step 3: Cross multiply
    3,119.66x = 4,304.10 × 2,057.96
  4. Step 4: Simplify right side
    3,119.66x = 8,857,656.04
  5. Step 5: Solve for x
    x = 8,857,656.04/3,119.66
  6. Step 6: Final answer
    x = 2,839.30

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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.