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Finding the Fourth Proportional to 2,266.72, 3,394.32 and 1,168

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Solution

The fourth proportional to 2,266.72, 3,394.32 and 1,168 is: 1,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.72 : 3,394.32 = 1,168 : x
  2. Step 2: Convert to fraction form
    2,266.72/3,394.32 = 1,168/x
  3. Step 3: Cross multiply
    2,266.72x = 3,394.32 × 1,168
  4. Step 4: Simplify right side
    2,266.72x = 3,964,565.76
  5. Step 5: Solve for x
    x = 3,964,565.76/2,266.72
  6. Step 6: Final answer
    x = 1,749.03

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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.