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Finding the Fourth Proportional to 2,216.34, 3,318.72 and 1,292.34

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Solution

The fourth proportional to 2,216.34, 3,318.72 and 1,292.34 is: 1,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.34 : 3,318.72 = 1,292.34 : x
  2. Step 2: Convert to fraction form
    2,216.34/3,318.72 = 1,292.34/x
  3. Step 3: Cross multiply
    2,216.34x = 3,318.72 × 1,292.34
  4. Step 4: Simplify right side
    2,216.34x = 4,288,914.60
  5. Step 5: Solve for x
    x = 4,288,914.60/2,216.34
  6. Step 6: Final answer
    x = 1,935.13

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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.