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Finding the Fourth Proportional to 2,063.91, 3,094.98 and 658.01

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Solution

The fourth proportional to 2,063.91, 3,094.98 and 658.01 is: 986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.91 : 3,094.98 = 658.01 : x
  2. Step 2: Convert to fraction form
    2,063.91/3,094.98 = 658.01/x
  3. Step 3: Cross multiply
    2,063.91x = 3,094.98 × 658.01
  4. Step 4: Simplify right side
    2,063.91x = 2,036,512.31
  5. Step 5: Solve for x
    x = 2,036,512.31/2,063.91
  6. Step 6: Final answer
    x = 986.73

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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.