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Finding the Fourth Proportional to 3,072.88, 4,611.44 and 1,613.06

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Solution

The fourth proportional to 3,072.88, 4,611.44 and 1,613.06 is: 2,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.88 : 4,611.44 = 1,613.06 : x
  2. Step 2: Convert to fraction form
    3,072.88/4,611.44 = 1,613.06/x
  3. Step 3: Cross multiply
    3,072.88x = 4,611.44 × 1,613.06
  4. Step 4: Simplify right side
    3,072.88x = 7,438,510.38
  5. Step 5: Solve for x
    x = 7,438,510.38/3,072.88
  6. Step 6: Final answer
    x = 2,420.70

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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.