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Finding the Fourth Proportional to 2,892.58, 3,991.75 and 1,566.27

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Solution

The fourth proportional to 2,892.58, 3,991.75 and 1,566.27 is: 2,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.58 : 3,991.75 = 1,566.27 : x
  2. Step 2: Convert to fraction form
    2,892.58/3,991.75 = 1,566.27/x
  3. Step 3: Cross multiply
    2,892.58x = 3,991.75 × 1,566.27
  4. Step 4: Simplify right side
    2,892.58x = 6,252,154.36
  5. Step 5: Solve for x
    x = 6,252,154.36/2,892.58
  6. Step 6: Final answer
    x = 2,161.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.