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Finding the Fourth Proportional to 4,642.68, 6,964.13 and 1,179.93

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Solution

The fourth proportional to 4,642.68, 6,964.13 and 1,179.93 is: 1,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.68 : 6,964.13 = 1,179.93 : x
  2. Step 2: Convert to fraction form
    4,642.68/6,964.13 = 1,179.93/x
  3. Step 3: Cross multiply
    4,642.68x = 6,964.13 × 1,179.93
  4. Step 4: Simplify right side
    4,642.68x = 8,217,185.91
  5. Step 5: Solve for x
    x = 8,217,185.91/4,642.68
  6. Step 6: Final answer
    x = 1,769.92

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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.