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Finding the Fourth Proportional to 2,684.36, 4,042.67 and 2,363.24

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Solution

The fourth proportional to 2,684.36, 4,042.67 and 2,363.24 is: 3,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.36 : 4,042.67 = 2,363.24 : x
  2. Step 2: Convert to fraction form
    2,684.36/4,042.67 = 2,363.24/x
  3. Step 3: Cross multiply
    2,684.36x = 4,042.67 × 2,363.24
  4. Step 4: Simplify right side
    2,684.36x = 9,553,799.45
  5. Step 5: Solve for x
    x = 9,553,799.45/2,684.36
  6. Step 6: Final answer
    x = 3,559.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.