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Finding the Fourth Proportional to 2,095.86, 2,892.29 and 1,151.73

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Solution

The fourth proportional to 2,095.86, 2,892.29 and 1,151.73 is: 1,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.86 : 2,892.29 = 1,151.73 : x
  2. Step 2: Convert to fraction form
    2,095.86/2,892.29 = 1,151.73/x
  3. Step 3: Cross multiply
    2,095.86x = 2,892.29 × 1,151.73
  4. Step 4: Simplify right side
    2,095.86x = 3,331,131.40
  5. Step 5: Solve for x
    x = 3,331,131.40/2,095.86
  6. Step 6: Final answer
    x = 1,589.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.