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Finding the Fourth Proportional to 2,329.92, 3,212.64 and 1,738.56

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Solution

The fourth proportional to 2,329.92, 3,212.64 and 1,738.56 is: 2,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.92 : 3,212.64 = 1,738.56 : x
  2. Step 2: Convert to fraction form
    2,329.92/3,212.64 = 1,738.56/x
  3. Step 3: Cross multiply
    2,329.92x = 3,212.64 × 1,738.56
  4. Step 4: Simplify right side
    2,329.92x = 5,585,367.40
  5. Step 5: Solve for x
    x = 5,585,367.40/2,329.92
  6. Step 6: Final answer
    x = 2,397.24

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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.