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Finding the Fourth Proportional to 2,269.08, 3,403.70 and 625.76

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Solution

The fourth proportional to 2,269.08, 3,403.70 and 625.76 is: 938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.08 : 3,403.70 = 625.76 : x
  2. Step 2: Convert to fraction form
    2,269.08/3,403.70 = 625.76/x
  3. Step 3: Cross multiply
    2,269.08x = 3,403.70 × 625.76
  4. Step 4: Simplify right side
    2,269.08x = 2,129,883.86
  5. Step 5: Solve for x
    x = 2,129,883.86/2,269.08
  6. Step 6: Final answer
    x = 938.66

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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.