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Finding the Fourth Proportional to 3,071.46, 4,238.64 and 1,674.24

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Solution

The fourth proportional to 3,071.46, 4,238.64 and 1,674.24 is: 2,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.46 : 4,238.64 = 1,674.24 : x
  2. Step 2: Convert to fraction form
    3,071.46/4,238.64 = 1,674.24/x
  3. Step 3: Cross multiply
    3,071.46x = 4,238.64 × 1,674.24
  4. Step 4: Simplify right side
    3,071.46x = 7,096,500.63
  5. Step 5: Solve for x
    x = 7,096,500.63/3,071.46
  6. Step 6: Final answer
    x = 2,310.46

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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.