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Finding the Fourth Proportional to 2,215.16, 3,322.72 and 983.12

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Solution

The fourth proportional to 2,215.16, 3,322.72 and 983.12 is: 1,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.16 : 3,322.72 = 983.12 : x
  2. Step 2: Convert to fraction form
    2,215.16/3,322.72 = 983.12/x
  3. Step 3: Cross multiply
    2,215.16x = 3,322.72 × 983.12
  4. Step 4: Simplify right side
    2,215.16x = 3,266,632.49
  5. Step 5: Solve for x
    x = 3,266,632.49/2,215.16
  6. Step 6: Final answer
    x = 1,474.67

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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.