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Finding the Fourth Proportional to 4,601.69, 6,901.07 and 1,969.14

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Solution

The fourth proportional to 4,601.69, 6,901.07 and 1,969.14 is: 2,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.69 : 6,901.07 = 1,969.14 : x
  2. Step 2: Convert to fraction form
    4,601.69/6,901.07 = 1,969.14/x
  3. Step 3: Cross multiply
    4,601.69x = 6,901.07 × 1,969.14
  4. Step 4: Simplify right side
    4,601.69x = 13,589,163.13
  5. Step 5: Solve for x
    x = 13,589,163.13/4,601.69
  6. Step 6: Final answer
    x = 2,953.08

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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.