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Finding the Fourth Proportional to 4,642.52, 6,963.69 and 1,179.77

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Solution

The fourth proportional to 4,642.52, 6,963.69 and 1,179.77 is: 1,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.52 : 6,963.69 = 1,179.77 : x
  2. Step 2: Convert to fraction form
    4,642.52/6,963.69 = 1,179.77/x
  3. Step 3: Cross multiply
    4,642.52x = 6,963.69 × 1,179.77
  4. Step 4: Simplify right side
    4,642.52x = 8,215,552.55
  5. Step 5: Solve for x
    x = 8,215,552.55/4,642.52
  6. Step 6: Final answer
    x = 1,769.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.