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Finding the Fourth Proportional to 2,720.88, 4,081.05 and 2,233.08

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Solution

The fourth proportional to 2,720.88, 4,081.05 and 2,233.08 is: 3,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.88 : 4,081.05 = 2,233.08 : x
  2. Step 2: Convert to fraction form
    2,720.88/4,081.05 = 2,233.08/x
  3. Step 3: Cross multiply
    2,720.88x = 4,081.05 × 2,233.08
  4. Step 4: Simplify right side
    2,720.88x = 9,113,311.13
  5. Step 5: Solve for x
    x = 9,113,311.13/2,720.88
  6. Step 6: Final answer
    x = 3,349.40

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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.