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Finding the Fourth Proportional to 2,142.75, 3,210.59 and 1,963.41

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Solution

The fourth proportional to 2,142.75, 3,210.59 and 1,963.41 is: 2,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.75 : 3,210.59 = 1,963.41 : x
  2. Step 2: Convert to fraction form
    2,142.75/3,210.59 = 1,963.41/x
  3. Step 3: Cross multiply
    2,142.75x = 3,210.59 × 1,963.41
  4. Step 4: Simplify right side
    2,142.75x = 6,303,694.69
  5. Step 5: Solve for x
    x = 6,303,694.69/2,142.75
  6. Step 6: Final answer
    x = 2,941.87

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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.