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Finding the Fourth Proportional to 2,269.16, 3,403.93 and 625.71

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Solution

The fourth proportional to 2,269.16, 3,403.93 and 625.71 is: 938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.16 : 3,403.93 = 625.71 : x
  2. Step 2: Convert to fraction form
    2,269.16/3,403.93 = 625.71/x
  3. Step 3: Cross multiply
    2,269.16x = 3,403.93 × 625.71
  4. Step 4: Simplify right side
    2,269.16x = 2,129,856.02
  5. Step 5: Solve for x
    x = 2,129,856.02/2,269.16
  6. Step 6: Final answer
    x = 938.61

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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.