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Finding the Fourth Proportional to 2,892.43, 3,991.55 and 1,566.14

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Solution

The fourth proportional to 2,892.43, 3,991.55 and 1,566.14 is: 2,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.43 : 3,991.55 = 1,566.14 : x
  2. Step 2: Convert to fraction form
    2,892.43/3,991.55 = 1,566.14/x
  3. Step 3: Cross multiply
    2,892.43x = 3,991.55 × 1,566.14
  4. Step 4: Simplify right side
    2,892.43x = 6,251,307.14
  5. Step 5: Solve for x
    x = 6,251,307.14/2,892.43
  6. Step 6: Final answer
    x = 2,161.26

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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.