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Finding the Fourth Proportional to 2,207.88, 3,304.26 and 2,117.16

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Solution

The fourth proportional to 2,207.88, 3,304.26 and 2,117.16 is: 3,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.88 : 3,304.26 = 2,117.16 : x
  2. Step 2: Convert to fraction form
    2,207.88/3,304.26 = 2,117.16/x
  3. Step 3: Cross multiply
    2,207.88x = 3,304.26 × 2,117.16
  4. Step 4: Simplify right side
    2,207.88x = 6,995,647.10
  5. Step 5: Solve for x
    x = 6,995,647.10/2,207.88
  6. Step 6: Final answer
    x = 3,168.49

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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.