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Finding the Fourth Proportional to 2,339.16, 3,224.58 and 1,963.32

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Solution

The fourth proportional to 2,339.16, 3,224.58 and 1,963.32 is: 2,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.16 : 3,224.58 = 1,963.32 : x
  2. Step 2: Convert to fraction form
    2,339.16/3,224.58 = 1,963.32/x
  3. Step 3: Cross multiply
    2,339.16x = 3,224.58 × 1,963.32
  4. Step 4: Simplify right side
    2,339.16x = 6,330,882.41
  5. Step 5: Solve for x
    x = 6,330,882.41/2,339.16
  6. Step 6: Final answer
    x = 2,706.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.