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Finding the Fourth Proportional to 3,035.42, 4,553.14 and 844.15

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Solution

The fourth proportional to 3,035.42, 4,553.14 and 844.15 is: 1,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.42 : 4,553.14 = 844.15 : x
  2. Step 2: Convert to fraction form
    3,035.42/4,553.14 = 844.15/x
  3. Step 3: Cross multiply
    3,035.42x = 4,553.14 × 844.15
  4. Step 4: Simplify right side
    3,035.42x = 3,843,528.91
  5. Step 5: Solve for x
    x = 3,843,528.91/3,035.42
  6. Step 6: Final answer
    x = 1,266.23

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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.