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Finding the Fourth Proportional to 2,404.48, 3,607.62 and 844.60

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Solution

The fourth proportional to 2,404.48, 3,607.62 and 844.60 is: 1,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.48 : 3,607.62 = 844.60 : x
  2. Step 2: Convert to fraction form
    2,404.48/3,607.62 = 844.60/x
  3. Step 3: Cross multiply
    2,404.48x = 3,607.62 × 844.60
  4. Step 4: Simplify right side
    2,404.48x = 3,046,995.85
  5. Step 5: Solve for x
    x = 3,046,995.85/2,404.48
  6. Step 6: Final answer
    x = 1,267.22

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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.