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Finding the Fourth Proportional to 2,441.62, 3,370.80 and 1,696.24

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Solution

The fourth proportional to 2,441.62, 3,370.80 and 1,696.24 is: 2,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.62 : 3,370.80 = 1,696.24 : x
  2. Step 2: Convert to fraction form
    2,441.62/3,370.80 = 1,696.24/x
  3. Step 3: Cross multiply
    2,441.62x = 3,370.80 × 1,696.24
  4. Step 4: Simplify right side
    2,441.62x = 5,717,685.79
  5. Step 5: Solve for x
    x = 5,717,685.79/2,441.62
  6. Step 6: Final answer
    x = 2,341.76

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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.