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Finding the Fourth Proportional to 2,031.67, 3,046.90 and 644.95

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Solution

The fourth proportional to 2,031.67, 3,046.90 and 644.95 is: 967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.67 : 3,046.90 = 644.95 : x
  2. Step 2: Convert to fraction form
    2,031.67/3,046.90 = 644.95/x
  3. Step 3: Cross multiply
    2,031.67x = 3,046.90 × 644.95
  4. Step 4: Simplify right side
    2,031.67x = 1,965,098.16
  5. Step 5: Solve for x
    x = 1,965,098.16/2,031.67
  6. Step 6: Final answer
    x = 967.23

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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.