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Finding the Fourth Proportional to 2,404.62, 3,606.96 and 844.67

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Solution

The fourth proportional to 2,404.62, 3,606.96 and 844.67 is: 1,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.62 : 3,606.96 = 844.67 : x
  2. Step 2: Convert to fraction form
    2,404.62/3,606.96 = 844.67/x
  3. Step 3: Cross multiply
    2,404.62x = 3,606.96 × 844.67
  4. Step 4: Simplify right side
    2,404.62x = 3,046,680.83
  5. Step 5: Solve for x
    x = 3,046,680.83/2,404.62
  6. Step 6: Final answer
    x = 1,267.01

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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.