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Finding the Fourth Proportional to 2,096.86, 3,142.63 and 2,042.35

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Solution

The fourth proportional to 2,096.86, 3,142.63 and 2,042.35 is: 3,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.86 : 3,142.63 = 2,042.35 : x
  2. Step 2: Convert to fraction form
    2,096.86/3,142.63 = 2,042.35/x
  3. Step 3: Cross multiply
    2,096.86x = 3,142.63 × 2,042.35
  4. Step 4: Simplify right side
    2,096.86x = 6,418,350.38
  5. Step 5: Solve for x
    x = 6,418,350.38/2,096.86
  6. Step 6: Final answer
    x = 3,060.93

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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.