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Finding the Fourth Proportional to 2,269.59, 3,404.54 and 709.89

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Solution

The fourth proportional to 2,269.59, 3,404.54 and 709.89 is: 1,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.59 : 3,404.54 = 709.89 : x
  2. Step 2: Convert to fraction form
    2,269.59/3,404.54 = 709.89/x
  3. Step 3: Cross multiply
    2,269.59x = 3,404.54 × 709.89
  4. Step 4: Simplify right side
    2,269.59x = 2,416,848.90
  5. Step 5: Solve for x
    x = 2,416,848.90/2,269.59
  6. Step 6: Final answer
    x = 1,064.88

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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.