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Finding the Fourth Proportional to 2,336.96, 3,223.92 and 1,392.16

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Solution

The fourth proportional to 2,336.96, 3,223.92 and 1,392.16 is: 1,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.96 : 3,223.92 = 1,392.16 : x
  2. Step 2: Convert to fraction form
    2,336.96/3,223.92 = 1,392.16/x
  3. Step 3: Cross multiply
    2,336.96x = 3,223.92 × 1,392.16
  4. Step 4: Simplify right side
    2,336.96x = 4,488,212.47
  5. Step 5: Solve for x
    x = 4,488,212.47/2,336.96
  6. Step 6: Final answer
    x = 1,920.53

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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.