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Finding the Fourth Proportional to 2,893.15, 3,992.54 and 1,566.85

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Solution

The fourth proportional to 2,893.15, 3,992.54 and 1,566.85 is: 2,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.15 : 3,992.54 = 1,566.85 : x
  2. Step 2: Convert to fraction form
    2,893.15/3,992.54 = 1,566.85/x
  3. Step 3: Cross multiply
    2,893.15x = 3,992.54 × 1,566.85
  4. Step 4: Simplify right side
    2,893.15x = 6,255,711.30
  5. Step 5: Solve for x
    x = 6,255,711.30/2,893.15
  6. Step 6: Final answer
    x = 2,162.25

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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.