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Finding the Fourth Proportional to 2,936.61, 4,404.76 and 961.99

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Solution

The fourth proportional to 2,936.61, 4,404.76 and 961.99 is: 1,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.61 : 4,404.76 = 961.99 : x
  2. Step 2: Convert to fraction form
    2,936.61/4,404.76 = 961.99/x
  3. Step 3: Cross multiply
    2,936.61x = 4,404.76 × 961.99
  4. Step 4: Simplify right side
    2,936.61x = 4,237,335.07
  5. Step 5: Solve for x
    x = 4,237,335.07/2,936.61
  6. Step 6: Final answer
    x = 1,442.93

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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.