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Finding the Fourth Proportional to 1,962.72, 2,943.09 and 865.80

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Solution

The fourth proportional to 1,962.72, 2,943.09 and 865.80 is: 1,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.72 : 2,943.09 = 865.80 : x
  2. Step 2: Convert to fraction form
    1,962.72/2,943.09 = 865.80/x
  3. Step 3: Cross multiply
    1,962.72x = 2,943.09 × 865.80
  4. Step 4: Simplify right side
    1,962.72x = 2,548,127.32
  5. Step 5: Solve for x
    x = 2,548,127.32/1,962.72
  6. Step 6: Final answer
    x = 1,298.26

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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.