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Finding the Fourth Proportional to 2,269.30, 3,403.50 and 625.66

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Solution

The fourth proportional to 2,269.30, 3,403.50 and 625.66 is: 938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.30 : 3,403.50 = 625.66 : x
  2. Step 2: Convert to fraction form
    2,269.30/3,403.50 = 625.66/x
  3. Step 3: Cross multiply
    2,269.30x = 3,403.50 × 625.66
  4. Step 4: Simplify right side
    2,269.30x = 2,129,433.81
  5. Step 5: Solve for x
    x = 2,129,433.81/2,269.30
  6. Step 6: Final answer
    x = 938.37

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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.