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Finding the Fourth Proportional to 3,035.70, 4,553.02 and 844.61

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Solution

The fourth proportional to 3,035.70, 4,553.02 and 844.61 is: 1,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.70 : 4,553.02 = 844.61 : x
  2. Step 2: Convert to fraction form
    3,035.70/4,553.02 = 844.61/x
  3. Step 3: Cross multiply
    3,035.70x = 4,553.02 × 844.61
  4. Step 4: Simplify right side
    3,035.70x = 3,845,501.35
  5. Step 5: Solve for x
    x = 3,845,501.35/3,035.70
  6. Step 6: Final answer
    x = 1,266.76

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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.