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Finding the Fourth Proportional to 2,286.16, 3,429.20 and 554.72

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Solution

The fourth proportional to 2,286.16, 3,429.20 and 554.72 is: 832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.16 : 3,429.20 = 554.72 : x
  2. Step 2: Convert to fraction form
    2,286.16/3,429.20 = 554.72/x
  3. Step 3: Cross multiply
    2,286.16x = 3,429.20 × 554.72
  4. Step 4: Simplify right side
    2,286.16x = 1,902,245.82
  5. Step 5: Solve for x
    x = 1,902,245.82/2,286.16
  6. Step 6: Final answer
    x = 832.07

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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.