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Finding the Fourth Proportional to 2,113.61, 3,170.42 and 943.31

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Solution

The fourth proportional to 2,113.61, 3,170.42 and 943.31 is: 1,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.61 : 3,170.42 = 943.31 : x
  2. Step 2: Convert to fraction form
    2,113.61/3,170.42 = 943.31/x
  3. Step 3: Cross multiply
    2,113.61x = 3,170.42 × 943.31
  4. Step 4: Simplify right side
    2,113.61x = 2,990,668.32
  5. Step 5: Solve for x
    x = 2,990,668.32/2,113.61
  6. Step 6: Final answer
    x = 1,414.96

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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.