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Finding the Fourth Proportional to 1,684.80, 2,522.39 and 1,338.62

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Solution

The fourth proportional to 1,684.80, 2,522.39 and 1,338.62 is: 2,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.80 : 2,522.39 = 1,338.62 : x
  2. Step 2: Convert to fraction form
    1,684.80/2,522.39 = 1,338.62/x
  3. Step 3: Cross multiply
    1,684.80x = 2,522.39 × 1,338.62
  4. Step 4: Simplify right side
    1,684.80x = 3,376,502.40
  5. Step 5: Solve for x
    x = 3,376,502.40/1,684.80
  6. Step 6: Final answer
    x = 2,004.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.