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Finding the Fourth Proportional to 2,111.96, 3,162.47 and 1,876.86

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Solution

The fourth proportional to 2,111.96, 3,162.47 and 1,876.86 is: 2,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.96 : 3,162.47 = 1,876.86 : x
  2. Step 2: Convert to fraction form
    2,111.96/3,162.47 = 1,876.86/x
  3. Step 3: Cross multiply
    2,111.96x = 3,162.47 × 1,876.86
  4. Step 4: Simplify right side
    2,111.96x = 5,935,504.06
  5. Step 5: Solve for x
    x = 5,935,504.06/2,111.96
  6. Step 6: Final answer
    x = 2,810.43

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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.