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Finding the Fourth Proportional to 3,322.94, 4,981.73 and 1,842.12

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Solution

The fourth proportional to 3,322.94, 4,981.73 and 1,842.12 is: 2,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.94 : 4,981.73 = 1,842.12 : x
  2. Step 2: Convert to fraction form
    3,322.94/4,981.73 = 1,842.12/x
  3. Step 3: Cross multiply
    3,322.94x = 4,981.73 × 1,842.12
  4. Step 4: Simplify right side
    3,322.94x = 9,176,935.26
  5. Step 5: Solve for x
    x = 9,176,935.26/3,322.94
  6. Step 6: Final answer
    x = 2,761.70

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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.