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Finding the Fourth Proportional to 2,964.58, 4,447.95 and 1,578.04

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Solution

The fourth proportional to 2,964.58, 4,447.95 and 1,578.04 is: 2,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.58 : 4,447.95 = 1,578.04 : x
  2. Step 2: Convert to fraction form
    2,964.58/4,447.95 = 1,578.04/x
  3. Step 3: Cross multiply
    2,964.58x = 4,447.95 × 1,578.04
  4. Step 4: Simplify right side
    2,964.58x = 7,019,043.02
  5. Step 5: Solve for x
    x = 7,019,043.02/2,964.58
  6. Step 6: Final answer
    x = 2,367.63

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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.