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Finding the Fourth Proportional to 3,121.86, 4,682.61 and 1,888.94

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Solution

The fourth proportional to 3,121.86, 4,682.61 and 1,888.94 is: 2,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.86 : 4,682.61 = 1,888.94 : x
  2. Step 2: Convert to fraction form
    3,121.86/4,682.61 = 1,888.94/x
  3. Step 3: Cross multiply
    3,121.86x = 4,682.61 × 1,888.94
  4. Step 4: Simplify right side
    3,121.86x = 8,845,181.04
  5. Step 5: Solve for x
    x = 8,845,181.04/3,121.86
  6. Step 6: Final answer
    x = 2,833.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.