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Finding the Fourth Proportional to 1,819.86, 2,512.17 and 1,230.90

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Solution

The fourth proportional to 1,819.86, 2,512.17 and 1,230.90 is: 1,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.86 : 2,512.17 = 1,230.90 : x
  2. Step 2: Convert to fraction form
    1,819.86/2,512.17 = 1,230.90/x
  3. Step 3: Cross multiply
    1,819.86x = 2,512.17 × 1,230.90
  4. Step 4: Simplify right side
    1,819.86x = 3,092,230.05
  5. Step 5: Solve for x
    x = 3,092,230.05/1,819.86
  6. Step 6: Final answer
    x = 1,699.16

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