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Finding the Fourth Proportional to 3,071.82, 4,239.24 and 1,674.60

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Solution

The fourth proportional to 3,071.82, 4,239.24 and 1,674.60 is: 2,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.82 : 4,239.24 = 1,674.60 : x
  2. Step 2: Convert to fraction form
    3,071.82/4,239.24 = 1,674.60/x
  3. Step 3: Cross multiply
    3,071.82x = 4,239.24 × 1,674.60
  4. Step 4: Simplify right side
    3,071.82x = 7,099,031.30
  5. Step 5: Solve for x
    x = 7,099,031.30/3,071.82
  6. Step 6: Final answer
    x = 2,311.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.