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Finding the Fourth Proportional to 3,071.71, 4,238.99 and 1,674.46

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Solution

The fourth proportional to 3,071.71, 4,238.99 and 1,674.46 is: 2,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.71 : 4,238.99 = 1,674.46 : x
  2. Step 2: Convert to fraction form
    3,071.71/4,238.99 = 1,674.46/x
  3. Step 3: Cross multiply
    3,071.71x = 4,238.99 × 1,674.46
  4. Step 4: Simplify right side
    3,071.71x = 7,098,019.20
  5. Step 5: Solve for x
    x = 7,098,019.20/3,071.71
  6. Step 6: Final answer
    x = 2,310.77

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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.