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Finding the Fourth Proportional to 4,642.92, 6,964.32 and 1,180.14

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Solution

The fourth proportional to 4,642.92, 6,964.32 and 1,180.14 is: 1,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.92 : 6,964.32 = 1,180.14 : x
  2. Step 2: Convert to fraction form
    4,642.92/6,964.32 = 1,180.14/x
  3. Step 3: Cross multiply
    4,642.92x = 6,964.32 × 1,180.14
  4. Step 4: Simplify right side
    4,642.92x = 8,218,872.60
  5. Step 5: Solve for x
    x = 8,218,872.60/4,642.92
  6. Step 6: Final answer
    x = 1,770.19

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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.