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Finding the Fourth Proportional to 2,297.72, 3,445.08 and 911.24

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Solution

The fourth proportional to 2,297.72, 3,445.08 and 911.24 is: 1,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.72 : 3,445.08 = 911.24 : x
  2. Step 2: Convert to fraction form
    2,297.72/3,445.08 = 911.24/x
  3. Step 3: Cross multiply
    2,297.72x = 3,445.08 × 911.24
  4. Step 4: Simplify right side
    2,297.72x = 3,139,294.70
  5. Step 5: Solve for x
    x = 3,139,294.70/2,297.72
  6. Step 6: Final answer
    x = 1,366.27

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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.