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Finding the Fourth Proportional to 1,601.57, 2,402.26 and 951.75

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Solution

The fourth proportional to 1,601.57, 2,402.26 and 951.75 is: 1,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.57 : 2,402.26 = 951.75 : x
  2. Step 2: Convert to fraction form
    1,601.57/2,402.26 = 951.75/x
  3. Step 3: Cross multiply
    1,601.57x = 2,402.26 × 951.75
  4. Step 4: Simplify right side
    1,601.57x = 2,286,348.58
  5. Step 5: Solve for x
    x = 2,286,348.58/1,601.57
  6. Step 6: Final answer
    x = 1,427.56

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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.