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Finding the Fourth Proportional to 2,162.46, 3,243.41 and 913.55

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Solution

The fourth proportional to 2,162.46, 3,243.41 and 913.55 is: 1,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.46 : 3,243.41 = 913.55 : x
  2. Step 2: Convert to fraction form
    2,162.46/3,243.41 = 913.55/x
  3. Step 3: Cross multiply
    2,162.46x = 3,243.41 × 913.55
  4. Step 4: Simplify right side
    2,162.46x = 2,963,005.58
  5. Step 5: Solve for x
    x = 2,963,005.58/2,162.46
  6. Step 6: Final answer
    x = 1,370.20

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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.