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Finding the Fourth Proportional to 2,269.35, 3,404.16 and 709.63

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Solution

The fourth proportional to 2,269.35, 3,404.16 and 709.63 is: 1,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.35 : 3,404.16 = 709.63 : x
  2. Step 2: Convert to fraction form
    2,269.35/3,404.16 = 709.63/x
  3. Step 3: Cross multiply
    2,269.35x = 3,404.16 × 709.63
  4. Step 4: Simplify right side
    2,269.35x = 2,415,685.55
  5. Step 5: Solve for x
    x = 2,415,685.55/2,269.35
  6. Step 6: Final answer
    x = 1,064.48

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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.