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Finding the Fourth Proportional to 3,175.81, 4,381.14 and 2,057.11

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Solution

The fourth proportional to 3,175.81, 4,381.14 and 2,057.11 is: 2,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.81 : 4,381.14 = 2,057.11 : x
  2. Step 2: Convert to fraction form
    3,175.81/4,381.14 = 2,057.11/x
  3. Step 3: Cross multiply
    3,175.81x = 4,381.14 × 2,057.11
  4. Step 4: Simplify right side
    3,175.81x = 9,012,465.00
  5. Step 5: Solve for x
    x = 9,012,465.00/3,175.81
  6. Step 6: Final answer
    x = 2,837.85

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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.