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Finding the Fourth Proportional to 1,962.93, 2,943.44 and 1,141.49

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Solution

The fourth proportional to 1,962.93, 2,943.44 and 1,141.49 is: 1,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.93 : 2,943.44 = 1,141.49 : x
  2. Step 2: Convert to fraction form
    1,962.93/2,943.44 = 1,141.49/x
  3. Step 3: Cross multiply
    1,962.93x = 2,943.44 × 1,141.49
  4. Step 4: Simplify right side
    1,962.93x = 3,359,913.26
  5. Step 5: Solve for x
    x = 3,359,913.26/1,962.93
  6. Step 6: Final answer
    x = 1,711.68

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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.