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Finding the Fourth Proportional to 1,601.09, 2,209.47 and 963.42

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Solution

The fourth proportional to 1,601.09, 2,209.47 and 963.42 is: 1,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.09 : 2,209.47 = 963.42 : x
  2. Step 2: Convert to fraction form
    1,601.09/2,209.47 = 963.42/x
  3. Step 3: Cross multiply
    1,601.09x = 2,209.47 × 963.42
  4. Step 4: Simplify right side
    1,601.09x = 2,128,647.59
  5. Step 5: Solve for x
    x = 2,128,647.59/1,601.09
  6. Step 6: Final answer
    x = 1,329.50

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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.