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Finding the Fourth Proportional to 2,961.99, 4,432.02 and 2,437.11

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Solution

The fourth proportional to 2,961.99, 4,432.02 and 2,437.11 is: 3,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.99 : 4,432.02 = 2,437.11 : x
  2. Step 2: Convert to fraction form
    2,961.99/4,432.02 = 2,437.11/x
  3. Step 3: Cross multiply
    2,961.99x = 4,432.02 × 2,437.11
  4. Step 4: Simplify right side
    2,961.99x = 10,801,320.26
  5. Step 5: Solve for x
    x = 10,801,320.26/2,961.99
  6. Step 6: Final answer
    x = 3,646.64

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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.