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Finding the Fourth Proportional to 2,269.31, 3,404.09 and 709.53

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Solution

The fourth proportional to 2,269.31, 3,404.09 and 709.53 is: 1,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.31 : 3,404.09 = 709.53 : x
  2. Step 2: Convert to fraction form
    2,269.31/3,404.09 = 709.53/x
  3. Step 3: Cross multiply
    2,269.31x = 3,404.09 × 709.53
  4. Step 4: Simplify right side
    2,269.31x = 2,415,303.98
  5. Step 5: Solve for x
    x = 2,415,303.98/2,269.31
  6. Step 6: Final answer
    x = 1,064.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.