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Finding the Fourth Proportional to 1,962.29, 2,943.41 and 501.42

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Solution

The fourth proportional to 1,962.29, 2,943.41 and 501.42 is: 752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.29 : 2,943.41 = 501.42 : x
  2. Step 2: Convert to fraction form
    1,962.29/2,943.41 = 501.42/x
  3. Step 3: Cross multiply
    1,962.29x = 2,943.41 × 501.42
  4. Step 4: Simplify right side
    1,962.29x = 1,475,882.14
  5. Step 5: Solve for x
    x = 1,475,882.14/1,962.29
  6. Step 6: Final answer
    x = 752.12

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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.