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Finding the Fourth Proportional to 2,315, 3,471.97 and 671.18

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Solution

The fourth proportional to 2,315, 3,471.97 and 671.18 is: 1,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315 : 3,471.97 = 671.18 : x
  2. Step 2: Convert to fraction form
    2,315/3,471.97 = 671.18/x
  3. Step 3: Cross multiply
    2,315x = 3,471.97 × 671.18
  4. Step 4: Simplify right side
    2,315x = 2,330,316.82
  5. Step 5: Solve for x
    x = 2,330,316.82/2,315
  6. Step 6: Final answer
    x = 1,006.62

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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.