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Finding the Fourth Proportional to 2,269.12, 3,404.16 and 730.24

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Solution

The fourth proportional to 2,269.12, 3,404.16 and 730.24 is: 1,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.12 : 3,404.16 = 730.24 : x
  2. Step 2: Convert to fraction form
    2,269.12/3,404.16 = 730.24/x
  3. Step 3: Cross multiply
    2,269.12x = 3,404.16 × 730.24
  4. Step 4: Simplify right side
    2,269.12x = 2,485,853.80
  5. Step 5: Solve for x
    x = 2,485,853.80/2,269.12
  6. Step 6: Final answer
    x = 1,095.51

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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.