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Finding the Fourth Proportional to 2,269.77, 3,403.43 and 709.10

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Solution

The fourth proportional to 2,269.77, 3,403.43 and 709.10 is: 1,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.77 : 3,403.43 = 709.10 : x
  2. Step 2: Convert to fraction form
    2,269.77/3,403.43 = 709.10/x
  3. Step 3: Cross multiply
    2,269.77x = 3,403.43 × 709.10
  4. Step 4: Simplify right side
    2,269.77x = 2,413,351.65
  5. Step 5: Solve for x
    x = 2,413,351.65/2,269.77
  6. Step 6: Final answer
    x = 1,063.26

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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.