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Finding the Fourth Proportional to 3,073.42, 4,611.67 and 1,225.83

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Solution

The fourth proportional to 3,073.42, 4,611.67 and 1,225.83 is: 1,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.42 : 4,611.67 = 1,225.83 : x
  2. Step 2: Convert to fraction form
    3,073.42/4,611.67 = 1,225.83/x
  3. Step 3: Cross multiply
    3,073.42x = 4,611.67 × 1,225.83
  4. Step 4: Simplify right side
    3,073.42x = 5,653,120.49
  5. Step 5: Solve for x
    x = 5,653,120.49/3,073.42
  6. Step 6: Final answer
    x = 1,839.36

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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.