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Finding the Fourth Proportional to 2,151.61, 3,227.30 and 1,262.63

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Solution

The fourth proportional to 2,151.61, 3,227.30 and 1,262.63 is: 1,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.61 : 3,227.30 = 1,262.63 : x
  2. Step 2: Convert to fraction form
    2,151.61/3,227.30 = 1,262.63/x
  3. Step 3: Cross multiply
    2,151.61x = 3,227.30 × 1,262.63
  4. Step 4: Simplify right side
    2,151.61x = 4,074,885.80
  5. Step 5: Solve for x
    x = 4,074,885.80/2,151.61
  6. Step 6: Final answer
    x = 1,893.88

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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.