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Finding the Fourth Proportional to 2,451.12, 3,677.13 and 719.88

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Solution

The fourth proportional to 2,451.12, 3,677.13 and 719.88 is: 1,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.12 : 3,677.13 = 719.88 : x
  2. Step 2: Convert to fraction form
    2,451.12/3,677.13 = 719.88/x
  3. Step 3: Cross multiply
    2,451.12x = 3,677.13 × 719.88
  4. Step 4: Simplify right side
    2,451.12x = 2,647,092.34
  5. Step 5: Solve for x
    x = 2,647,092.34/2,451.12
  6. Step 6: Final answer
    x = 1,079.95

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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.