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Finding the Fourth Proportional to 3,035.60, 4,553.40 and 844.39

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Solution

The fourth proportional to 3,035.60, 4,553.40 and 844.39 is: 1,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.60 : 4,553.40 = 844.39 : x
  2. Step 2: Convert to fraction form
    3,035.60/4,553.40 = 844.39/x
  3. Step 3: Cross multiply
    3,035.60x = 4,553.40 × 844.39
  4. Step 4: Simplify right side
    3,035.60x = 3,844,833.89
  5. Step 5: Solve for x
    x = 3,844,833.89/3,035.60
  6. Step 6: Final answer
    x = 1,266.58

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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.