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Finding the Fourth Proportional to 2,162.87, 2,983.94 and 1,322.90

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Solution

The fourth proportional to 2,162.87, 2,983.94 and 1,322.90 is: 1,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.87 : 2,983.94 = 1,322.90 : x
  2. Step 2: Convert to fraction form
    2,162.87/2,983.94 = 1,322.90/x
  3. Step 3: Cross multiply
    2,162.87x = 2,983.94 × 1,322.90
  4. Step 4: Simplify right side
    2,162.87x = 3,947,448.84
  5. Step 5: Solve for x
    x = 3,947,448.84/2,162.87
  6. Step 6: Final answer
    x = 1,825.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.