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Finding the Fourth Proportional to 2,269.14, 3,403.62 and 625.86

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Solution

The fourth proportional to 2,269.14, 3,403.62 and 625.86 is: 938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.14 : 3,403.62 = 625.86 : x
  2. Step 2: Convert to fraction form
    2,269.14/3,403.62 = 625.86/x
  3. Step 3: Cross multiply
    2,269.14x = 3,403.62 × 625.86
  4. Step 4: Simplify right side
    2,269.14x = 2,130,189.61
  5. Step 5: Solve for x
    x = 2,130,189.61/2,269.14
  6. Step 6: Final answer
    x = 938.77

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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.