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Finding the Fourth Proportional to 2,450.42, 3,675.52 and 601.44

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Solution

The fourth proportional to 2,450.42, 3,675.52 and 601.44 is: 902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.42 : 3,675.52 = 601.44 : x
  2. Step 2: Convert to fraction form
    2,450.42/3,675.52 = 601.44/x
  3. Step 3: Cross multiply
    2,450.42x = 3,675.52 × 601.44
  4. Step 4: Simplify right side
    2,450.42x = 2,210,591.72
  5. Step 5: Solve for x
    x = 2,210,591.72/2,450.42
  6. Step 6: Final answer
    x = 902.13

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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.