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Finding the Fourth Proportional to 2,665.47, 3,999.83 and 1,022.16

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Solution

The fourth proportional to 2,665.47, 3,999.83 and 1,022.16 is: 1,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.47 : 3,999.83 = 1,022.16 : x
  2. Step 2: Convert to fraction form
    2,665.47/3,999.83 = 1,022.16/x
  3. Step 3: Cross multiply
    2,665.47x = 3,999.83 × 1,022.16
  4. Step 4: Simplify right side
    2,665.47x = 4,088,461.12
  5. Step 5: Solve for x
    x = 4,088,461.12/2,665.47
  6. Step 6: Final answer
    x = 1,533.86

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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.