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Finding the Fourth Proportional to 2,623.23, 3,935.42 and 868.16

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Solution

The fourth proportional to 2,623.23, 3,935.42 and 868.16 is: 1,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.23 : 3,935.42 = 868.16 : x
  2. Step 2: Convert to fraction form
    2,623.23/3,935.42 = 868.16/x
  3. Step 3: Cross multiply
    2,623.23x = 3,935.42 × 868.16
  4. Step 4: Simplify right side
    2,623.23x = 3,416,550.21
  5. Step 5: Solve for x
    x = 3,416,550.21/2,623.23
  6. Step 6: Final answer
    x = 1,302.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.