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Finding the Fourth Proportional to 3,278.95, 4,920.78 and 1,612.71

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Solution

The fourth proportional to 3,278.95, 4,920.78 and 1,612.71 is: 2,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.95 : 4,920.78 = 1,612.71 : x
  2. Step 2: Convert to fraction form
    3,278.95/4,920.78 = 1,612.71/x
  3. Step 3: Cross multiply
    3,278.95x = 4,920.78 × 1,612.71
  4. Step 4: Simplify right side
    3,278.95x = 7,935,797.16
  5. Step 5: Solve for x
    x = 7,935,797.16/3,278.95
  6. Step 6: Final answer
    x = 2,420.23

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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.