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Finding the Fourth Proportional to 2,269.13, 3,403.86 and 625.66

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Solution

The fourth proportional to 2,269.13, 3,403.86 and 625.66 is: 938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.13 : 3,403.86 = 625.66 : x
  2. Step 2: Convert to fraction form
    2,269.13/3,403.86 = 625.66/x
  3. Step 3: Cross multiply
    2,269.13x = 3,403.86 × 625.66
  4. Step 4: Simplify right side
    2,269.13x = 2,129,656.92
  5. Step 5: Solve for x
    x = 2,129,656.92/2,269.13
  6. Step 6: Final answer
    x = 938.54

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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.