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Finding the Fourth Proportional to 1,519.86, 2,276.83 and 1,354.57

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Solution

The fourth proportional to 1,519.86, 2,276.83 and 1,354.57 is: 2,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.86 : 2,276.83 = 1,354.57 : x
  2. Step 2: Convert to fraction form
    1,519.86/2,276.83 = 1,354.57/x
  3. Step 3: Cross multiply
    1,519.86x = 2,276.83 × 1,354.57
  4. Step 4: Simplify right side
    1,519.86x = 3,084,126.80
  5. Step 5: Solve for x
    x = 3,084,126.80/1,519.86
  6. Step 6: Final answer
    x = 2,029.21

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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.