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Finding the Fourth Proportional to 2,680.40, 3,699.72 and 2,418.32

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Solution

The fourth proportional to 2,680.40, 3,699.72 and 2,418.32 is: 3,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.40 : 3,699.72 = 2,418.32 : x
  2. Step 2: Convert to fraction form
    2,680.40/3,699.72 = 2,418.32/x
  3. Step 3: Cross multiply
    2,680.40x = 3,699.72 × 2,418.32
  4. Step 4: Simplify right side
    2,680.40x = 8,947,106.87
  5. Step 5: Solve for x
    x = 8,947,106.87/2,680.40
  6. Step 6: Final answer
    x = 3,337.97

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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.