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Finding the Fourth Proportional to 2,933.54, 4,400.60 and 853.56

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Solution

The fourth proportional to 2,933.54, 4,400.60 and 853.56 is: 1,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.54 : 4,400.60 = 853.56 : x
  2. Step 2: Convert to fraction form
    2,933.54/4,400.60 = 853.56/x
  3. Step 3: Cross multiply
    2,933.54x = 4,400.60 × 853.56
  4. Step 4: Simplify right side
    2,933.54x = 3,756,176.14
  5. Step 5: Solve for x
    x = 3,756,176.14/2,933.54
  6. Step 6: Final answer
    x = 1,280.42

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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.