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Finding the Fourth Proportional to 2,063.86, 3,092.74 and 1,513.46

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Solution

The fourth proportional to 2,063.86, 3,092.74 and 1,513.46 is: 2,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.86 : 3,092.74 = 1,513.46 : x
  2. Step 2: Convert to fraction form
    2,063.86/3,092.74 = 1,513.46/x
  3. Step 3: Cross multiply
    2,063.86x = 3,092.74 × 1,513.46
  4. Step 4: Simplify right side
    2,063.86x = 4,680,738.28
  5. Step 5: Solve for x
    x = 4,680,738.28/2,063.86
  6. Step 6: Final answer
    x = 2,267.95

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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.