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Finding the Fourth Proportional to 2,892.89, 3,992.19 and 1,566.60

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Solution

The fourth proportional to 2,892.89, 3,992.19 and 1,566.60 is: 2,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.89 : 3,992.19 = 1,566.60 : x
  2. Step 2: Convert to fraction form
    2,892.89/3,992.19 = 1,566.60/x
  3. Step 3: Cross multiply
    2,892.89x = 3,992.19 × 1,566.60
  4. Step 4: Simplify right side
    2,892.89x = 6,254,137.06
  5. Step 5: Solve for x
    x = 6,254,137.06/2,892.89
  6. Step 6: Final answer
    x = 2,161.90

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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.