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Finding the Fourth Proportional to 2,215.24, 3,322.57 and 655.21

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Solution

The fourth proportional to 2,215.24, 3,322.57 and 655.21 is: 982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.24 : 3,322.57 = 655.21 : x
  2. Step 2: Convert to fraction form
    2,215.24/3,322.57 = 655.21/x
  3. Step 3: Cross multiply
    2,215.24x = 3,322.57 × 655.21
  4. Step 4: Simplify right side
    2,215.24x = 2,176,961.20
  5. Step 5: Solve for x
    x = 2,176,961.20/2,215.24
  6. Step 6: Final answer
    x = 982.72

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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.