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Finding the Fourth Proportional to 1,632.87, 2,253.61 and 969.89

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Solution

The fourth proportional to 1,632.87, 2,253.61 and 969.89 is: 1,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.87 : 2,253.61 = 969.89 : x
  2. Step 2: Convert to fraction form
    1,632.87/2,253.61 = 969.89/x
  3. Step 3: Cross multiply
    1,632.87x = 2,253.61 × 969.89
  4. Step 4: Simplify right side
    1,632.87x = 2,185,737.69
  5. Step 5: Solve for x
    x = 2,185,737.69/1,632.87
  6. Step 6: Final answer
    x = 1,338.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.