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Finding the Fourth Proportional to 2,269.16, 3,403.22 and 625.84

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Solution

The fourth proportional to 2,269.16, 3,403.22 and 625.84 is: 938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.16 : 3,403.22 = 625.84 : x
  2. Step 2: Convert to fraction form
    2,269.16/3,403.22 = 625.84/x
  3. Step 3: Cross multiply
    2,269.16x = 3,403.22 × 625.84
  4. Step 4: Simplify right side
    2,269.16x = 2,129,878.71
  5. Step 5: Solve for x
    x = 2,129,878.71/2,269.16
  6. Step 6: Final answer
    x = 938.62

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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.