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Finding the Fourth Proportional to 2,807.94, 3,876.53 and 1,971.21

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Solution

The fourth proportional to 2,807.94, 3,876.53 and 1,971.21 is: 2,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.94 : 3,876.53 = 1,971.21 : x
  2. Step 2: Convert to fraction form
    2,807.94/3,876.53 = 1,971.21/x
  3. Step 3: Cross multiply
    2,807.94x = 3,876.53 × 1,971.21
  4. Step 4: Simplify right side
    2,807.94x = 7,641,444.85
  5. Step 5: Solve for x
    x = 7,641,444.85/2,807.94
  6. Step 6: Final answer
    x = 2,721.37

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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.