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Finding the Fourth Proportional to 3,365.80, 4,643.56 and 2,039.02

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Solution

The fourth proportional to 3,365.80, 4,643.56 and 2,039.02 is: 2,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.80 : 4,643.56 = 2,039.02 : x
  2. Step 2: Convert to fraction form
    3,365.80/4,643.56 = 2,039.02/x
  3. Step 3: Cross multiply
    3,365.80x = 4,643.56 × 2,039.02
  4. Step 4: Simplify right side
    3,365.80x = 9,468,311.71
  5. Step 5: Solve for x
    x = 9,468,311.71/3,365.80
  6. Step 6: Final answer
    x = 2,813.09

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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.