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Finding the Fourth Proportional to 1,601.24, 2,209.74 and 980.60

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Solution

The fourth proportional to 1,601.24, 2,209.74 and 980.60 is: 1,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.24 : 2,209.74 = 980.60 : x
  2. Step 2: Convert to fraction form
    1,601.24/2,209.74 = 980.60/x
  3. Step 3: Cross multiply
    1,601.24x = 2,209.74 × 980.60
  4. Step 4: Simplify right side
    1,601.24x = 2,166,871.04
  5. Step 5: Solve for x
    x = 2,166,871.04/1,601.24
  6. Step 6: Final answer
    x = 1,353.25

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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.