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Finding the Fourth Proportional to 2,314.27, 3,471.42 and 670.96

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Solution

The fourth proportional to 2,314.27, 3,471.42 and 670.96 is: 1,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.27 : 3,471.42 = 670.96 : x
  2. Step 2: Convert to fraction form
    2,314.27/3,471.42 = 670.96/x
  3. Step 3: Cross multiply
    2,314.27x = 3,471.42 × 670.96
  4. Step 4: Simplify right side
    2,314.27x = 2,329,166.61
  5. Step 5: Solve for x
    x = 2,329,166.61/2,314.27
  6. Step 6: Final answer
    x = 1,006.44

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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.