Home / 2,269.20-3,403.98-709.14

Finding the Fourth Proportional to 2,269.20, 3,403.98 and 709.14

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Solution

The fourth proportional to 2,269.20, 3,403.98 and 709.14 is: 1,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.20 : 3,403.98 = 709.14 : x
  2. Step 2: Convert to fraction form
    2,269.20/3,403.98 = 709.14/x
  3. Step 3: Cross multiply
    2,269.20x = 3,403.98 × 709.14
  4. Step 4: Simplify right side
    2,269.20x = 2,413,898.38
  5. Step 5: Solve for x
    x = 2,413,898.38/2,269.20
  6. Step 6: Final answer
    x = 1,063.77

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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.