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Finding the Fourth Proportional to 2,666.25, 3,998.46 and 1,023.27

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Solution

The fourth proportional to 2,666.25, 3,998.46 and 1,023.27 is: 1,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.25 : 3,998.46 = 1,023.27 : x
  2. Step 2: Convert to fraction form
    2,666.25/3,998.46 = 1,023.27/x
  3. Step 3: Cross multiply
    2,666.25x = 3,998.46 × 1,023.27
  4. Step 4: Simplify right side
    2,666.25x = 4,091,504.16
  5. Step 5: Solve for x
    x = 4,091,504.16/2,666.25
  6. Step 6: Final answer
    x = 1,534.55

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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.