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Finding the Fourth Proportional to 2,092.69, 3,143.93 and 1,974.47

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Solution

The fourth proportional to 2,092.69, 3,143.93 and 1,974.47 is: 2,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.69 : 3,143.93 = 1,974.47 : x
  2. Step 2: Convert to fraction form
    2,092.69/3,143.93 = 1,974.47/x
  3. Step 3: Cross multiply
    2,092.69x = 3,143.93 × 1,974.47
  4. Step 4: Simplify right side
    2,092.69x = 6,207,600.86
  5. Step 5: Solve for x
    x = 6,207,600.86/2,092.69
  6. Step 6: Final answer
    x = 2,966.32

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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.