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Finding the Fourth Proportional to 2,632, 3,637.92 and 2,367.04

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Solution

The fourth proportional to 2,632, 3,637.92 and 2,367.04 is: 3,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632 : 3,637.92 = 2,367.04 : x
  2. Step 2: Convert to fraction form
    2,632/3,637.92 = 2,367.04/x
  3. Step 3: Cross multiply
    2,632x = 3,637.92 × 2,367.04
  4. Step 4: Simplify right side
    2,632x = 8,611,102.16
  5. Step 5: Solve for x
    x = 8,611,102.16/2,632
  6. Step 6: Final answer
    x = 3,271.70

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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.