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Finding the Fourth Proportional to 3,184.09, 4,775.60 and 844.24

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Solution

The fourth proportional to 3,184.09, 4,775.60 and 844.24 is: 1,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.09 : 4,775.60 = 844.24 : x
  2. Step 2: Convert to fraction form
    3,184.09/4,775.60 = 844.24/x
  3. Step 3: Cross multiply
    3,184.09x = 4,775.60 × 844.24
  4. Step 4: Simplify right side
    3,184.09x = 4,031,728.67
  5. Step 5: Solve for x
    x = 4,031,728.67/3,184.09
  6. Step 6: Final answer
    x = 1,266.21

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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.