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Finding the Fourth Proportional to 1,601.40, 2,209.98 and 902.76

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Solution

The fourth proportional to 1,601.40, 2,209.98 and 902.76 is: 1,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.40 : 2,209.98 = 902.76 : x
  2. Step 2: Convert to fraction form
    1,601.40/2,209.98 = 902.76/x
  3. Step 3: Cross multiply
    1,601.40x = 2,209.98 × 902.76
  4. Step 4: Simplify right side
    1,601.40x = 1,995,081.54
  5. Step 5: Solve for x
    x = 1,995,081.54/1,601.40
  6. Step 6: Final answer
    x = 1,245.84

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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.