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Finding the Fourth Proportional to 3,364.67, 4,643.61 and 2,039.10

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Solution

The fourth proportional to 3,364.67, 4,643.61 and 2,039.10 is: 2,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.67 : 4,643.61 = 2,039.10 : x
  2. Step 2: Convert to fraction form
    3,364.67/4,643.61 = 2,039.10/x
  3. Step 3: Cross multiply
    3,364.67x = 4,643.61 × 2,039.10
  4. Step 4: Simplify right side
    3,364.67x = 9,468,785.15
  5. Step 5: Solve for x
    x = 9,468,785.15/3,364.67
  6. Step 6: Final answer
    x = 2,814.18

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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.