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Finding the Fourth Proportional to 2,893.25, 3,992.68 and 1,566.95

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Solution

The fourth proportional to 2,893.25, 3,992.68 and 1,566.95 is: 2,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.25 : 3,992.68 = 1,566.95 : x
  2. Step 2: Convert to fraction form
    2,893.25/3,992.68 = 1,566.95/x
  3. Step 3: Cross multiply
    2,893.25x = 3,992.68 × 1,566.95
  4. Step 4: Simplify right side
    2,893.25x = 6,256,303.11
  5. Step 5: Solve for x
    x = 6,256,303.11/2,893.25
  6. Step 6: Final answer
    x = 2,162.38

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Why These Related Problems?

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