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Finding the Fourth Proportional to 2,293.18, 3,440.17 and 995.56

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Solution

The fourth proportional to 2,293.18, 3,440.17 and 995.56 is: 1,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.18 : 3,440.17 = 995.56 : x
  2. Step 2: Convert to fraction form
    2,293.18/3,440.17 = 995.56/x
  3. Step 3: Cross multiply
    2,293.18x = 3,440.17 × 995.56
  4. Step 4: Simplify right side
    2,293.18x = 3,424,888.29
  5. Step 5: Solve for x
    x = 3,424,888.29/2,293.18
  6. Step 6: Final answer
    x = 1,493.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.