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Finding the Fourth Proportional to 3,330.96, 4,997.16 and 1,022.64

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Solution

The fourth proportional to 3,330.96, 4,997.16 and 1,022.64 is: 1,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.96 : 4,997.16 = 1,022.64 : x
  2. Step 2: Convert to fraction form
    3,330.96/4,997.16 = 1,022.64/x
  3. Step 3: Cross multiply
    3,330.96x = 4,997.16 × 1,022.64
  4. Step 4: Simplify right side
    3,330.96x = 5,110,295.70
  5. Step 5: Solve for x
    x = 5,110,295.70/3,330.96
  6. Step 6: Final answer
    x = 1,534.18

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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.