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Finding the Fourth Proportional to 2,543.63, 3,814.06 and 1,081.98

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Solution

The fourth proportional to 2,543.63, 3,814.06 and 1,081.98 is: 1,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.63 : 3,814.06 = 1,081.98 : x
  2. Step 2: Convert to fraction form
    2,543.63/3,814.06 = 1,081.98/x
  3. Step 3: Cross multiply
    2,543.63x = 3,814.06 × 1,081.98
  4. Step 4: Simplify right side
    2,543.63x = 4,126,736.64
  5. Step 5: Solve for x
    x = 4,126,736.64/2,543.63
  6. Step 6: Final answer
    x = 1,622.38

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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.