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Finding the Fourth Proportional to 3,071.19, 4,608 and 1,611.37

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Solution

The fourth proportional to 3,071.19, 4,608 and 1,611.37 is: 2,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.19 : 4,608 = 1,611.37 : x
  2. Step 2: Convert to fraction form
    3,071.19/4,608 = 1,611.37/x
  3. Step 3: Cross multiply
    3,071.19x = 4,608 × 1,611.37
  4. Step 4: Simplify right side
    3,071.19x = 7,425,192.96
  5. Step 5: Solve for x
    x = 7,425,192.96/3,071.19
  6. Step 6: Final answer
    x = 2,417.69

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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.