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Finding the Fourth Proportional to 2,936.53, 4,405.17 and 961.46

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Solution

The fourth proportional to 2,936.53, 4,405.17 and 961.46 is: 1,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.53 : 4,405.17 = 961.46 : x
  2. Step 2: Convert to fraction form
    2,936.53/4,405.17 = 961.46/x
  3. Step 3: Cross multiply
    2,936.53x = 4,405.17 × 961.46
  4. Step 4: Simplify right side
    2,936.53x = 4,235,394.75
  5. Step 5: Solve for x
    x = 4,235,394.75/2,936.53
  6. Step 6: Final answer
    x = 1,442.32

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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.