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Finding the Fourth Proportional to 2,967.94, 4,095.66 and 1,788.31

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Solution

The fourth proportional to 2,967.94, 4,095.66 and 1,788.31 is: 2,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.94 : 4,095.66 = 1,788.31 : x
  2. Step 2: Convert to fraction form
    2,967.94/4,095.66 = 1,788.31/x
  3. Step 3: Cross multiply
    2,967.94x = 4,095.66 × 1,788.31
  4. Step 4: Simplify right side
    2,967.94x = 7,324,309.73
  5. Step 5: Solve for x
    x = 7,324,309.73/2,967.94
  6. Step 6: Final answer
    x = 2,467.81

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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.