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Finding the Fourth Proportional to 2,215.55, 3,324.08 and 983.82

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Solution

The fourth proportional to 2,215.55, 3,324.08 and 983.82 is: 1,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.55 : 3,324.08 = 983.82 : x
  2. Step 2: Convert to fraction form
    2,215.55/3,324.08 = 983.82/x
  3. Step 3: Cross multiply
    2,215.55x = 3,324.08 × 983.82
  4. Step 4: Simplify right side
    2,215.55x = 3,270,298.85
  5. Step 5: Solve for x
    x = 3,270,298.85/2,215.55
  6. Step 6: Final answer
    x = 1,476.07

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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.