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Finding the Fourth Proportional to 2,269, 3,403.50 and 730

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Solution

The fourth proportional to 2,269, 3,403.50 and 730 is: 1,095

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269 : 3,403.50 = 730 : x
  2. Step 2: Convert to fraction form
    2,269/3,403.50 = 730/x
  3. Step 3: Cross multiply
    2,269x = 3,403.50 × 730
  4. Step 4: Simplify right side
    2,269x = 2,484,555
  5. Step 5: Solve for x
    x = 2,484,555/2,269
  6. Step 6: Final answer
    x = 1,095

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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.