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Finding the Fourth Proportional to 4,632.67, 6,949.05 and 1,169.92

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Solution

The fourth proportional to 4,632.67, 6,949.05 and 1,169.92 is: 1,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.67 : 6,949.05 = 1,169.92 : x
  2. Step 2: Convert to fraction form
    4,632.67/6,949.05 = 1,169.92/x
  3. Step 3: Cross multiply
    4,632.67x = 6,949.05 × 1,169.92
  4. Step 4: Simplify right side
    4,632.67x = 8,129,832.58
  5. Step 5: Solve for x
    x = 8,129,832.58/4,632.67
  6. Step 6: Final answer
    x = 1,754.89

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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.