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Finding the Fourth Proportional to 2,245.14, 3,367.38 and 601.83

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Solution

The fourth proportional to 2,245.14, 3,367.38 and 601.83 is: 902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.14 : 3,367.38 = 601.83 : x
  2. Step 2: Convert to fraction form
    2,245.14/3,367.38 = 601.83/x
  3. Step 3: Cross multiply
    2,245.14x = 3,367.38 × 601.83
  4. Step 4: Simplify right side
    2,245.14x = 2,026,590.31
  5. Step 5: Solve for x
    x = 2,026,590.31/2,245.14
  6. Step 6: Final answer
    x = 902.66

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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.