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Finding the Fourth Proportional to 1,983.99, 2,738.19 and 1,651.86

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Solution

The fourth proportional to 1,983.99, 2,738.19 and 1,651.86 is: 2,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.99 : 2,738.19 = 1,651.86 : x
  2. Step 2: Convert to fraction form
    1,983.99/2,738.19 = 1,651.86/x
  3. Step 3: Cross multiply
    1,983.99x = 2,738.19 × 1,651.86
  4. Step 4: Simplify right side
    1,983.99x = 4,523,106.53
  5. Step 5: Solve for x
    x = 4,523,106.53/1,983.99
  6. Step 6: Final answer
    x = 2,279.80

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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.