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Finding the Fourth Proportional to 2,215.95, 3,322.38 and 982.71

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Solution

The fourth proportional to 2,215.95, 3,322.38 and 982.71 is: 1,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.95 : 3,322.38 = 982.71 : x
  2. Step 2: Convert to fraction form
    2,215.95/3,322.38 = 982.71/x
  3. Step 3: Cross multiply
    2,215.95x = 3,322.38 × 982.71
  4. Step 4: Simplify right side
    2,215.95x = 3,264,936.05
  5. Step 5: Solve for x
    x = 3,264,936.05/2,215.95
  6. Step 6: Final answer
    x = 1,473.38

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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.