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Finding the Fourth Proportional to 2,965.76, 4,447.36 and 1,578.79

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Solution

The fourth proportional to 2,965.76, 4,447.36 and 1,578.79 is: 2,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.76 : 4,447.36 = 1,578.79 : x
  2. Step 2: Convert to fraction form
    2,965.76/4,447.36 = 1,578.79/x
  3. Step 3: Cross multiply
    2,965.76x = 4,447.36 × 1,578.79
  4. Step 4: Simplify right side
    2,965.76x = 7,021,446.15
  5. Step 5: Solve for x
    x = 7,021,446.15/2,965.76
  6. Step 6: Final answer
    x = 2,367.50

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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.