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Finding the Fourth Proportional to 2,671.68, 4,007.90 and 822.95

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Solution

The fourth proportional to 2,671.68, 4,007.90 and 822.95 is: 1,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.68 : 4,007.90 = 822.95 : x
  2. Step 2: Convert to fraction form
    2,671.68/4,007.90 = 822.95/x
  3. Step 3: Cross multiply
    2,671.68x = 4,007.90 × 822.95
  4. Step 4: Simplify right side
    2,671.68x = 3,298,277.15
  5. Step 5: Solve for x
    x = 3,298,277.15/2,671.68
  6. Step 6: Final answer
    x = 1,234.53

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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.