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Finding the Fourth Proportional to 3,406.66, 4,701.81 and 2,081.14

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Solution

The fourth proportional to 3,406.66, 4,701.81 and 2,081.14 is: 2,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.66 : 4,701.81 = 2,081.14 : x
  2. Step 2: Convert to fraction form
    3,406.66/4,701.81 = 2,081.14/x
  3. Step 3: Cross multiply
    3,406.66x = 4,701.81 × 2,081.14
  4. Step 4: Simplify right side
    3,406.66x = 9,785,124.86
  5. Step 5: Solve for x
    x = 9,785,124.86/3,406.66
  6. Step 6: Final answer
    x = 2,872.35

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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.