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Finding the Fourth Proportional to 2,876.86, 3,970.10 and 1,682.59

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Solution

The fourth proportional to 2,876.86, 3,970.10 and 1,682.59 is: 2,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.86 : 3,970.10 = 1,682.59 : x
  2. Step 2: Convert to fraction form
    2,876.86/3,970.10 = 1,682.59/x
  3. Step 3: Cross multiply
    2,876.86x = 3,970.10 × 1,682.59
  4. Step 4: Simplify right side
    2,876.86x = 6,680,042.15
  5. Step 5: Solve for x
    x = 6,680,042.15/2,876.86
  6. Step 6: Final answer
    x = 2,321.99

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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.