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Finding the Fourth Proportional to 2,875.91, 3,969.41 and 2,035.73

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Solution

The fourth proportional to 2,875.91, 3,969.41 and 2,035.73 is: 2,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.91 : 3,969.41 = 2,035.73 : x
  2. Step 2: Convert to fraction form
    2,875.91/3,969.41 = 2,035.73/x
  3. Step 3: Cross multiply
    2,875.91x = 3,969.41 × 2,035.73
  4. Step 4: Simplify right side
    2,875.91x = 8,080,646.76
  5. Step 5: Solve for x
    x = 8,080,646.76/2,875.91
  6. Step 6: Final answer
    x = 2,809.78

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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.