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Finding the Fourth Proportional to 3,071.68, 4,238.82 and 1,674.44

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Solution

The fourth proportional to 3,071.68, 4,238.82 and 1,674.44 is: 2,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.68 : 4,238.82 = 1,674.44 : x
  2. Step 2: Convert to fraction form
    3,071.68/4,238.82 = 1,674.44/x
  3. Step 3: Cross multiply
    3,071.68x = 4,238.82 × 1,674.44
  4. Step 4: Simplify right side
    3,071.68x = 7,097,649.76
  5. Step 5: Solve for x
    x = 7,097,649.76/3,071.68
  6. Step 6: Final answer
    x = 2,310.67

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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.