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Finding the Fourth Proportional to 1,697.54, 2,546.34 and 601.88

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Solution

The fourth proportional to 1,697.54, 2,546.34 and 601.88 is: 902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.54 : 2,546.34 = 601.88 : x
  2. Step 2: Convert to fraction form
    1,697.54/2,546.34 = 601.88/x
  3. Step 3: Cross multiply
    1,697.54x = 2,546.34 × 601.88
  4. Step 4: Simplify right side
    1,697.54x = 1,532,591.12
  5. Step 5: Solve for x
    x = 1,532,591.12/1,697.54
  6. Step 6: Final answer
    x = 902.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.