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Finding the Fourth Proportional to 2,536.30, 3,803.37 and 803.98

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Solution

The fourth proportional to 2,536.30, 3,803.37 and 803.98 is: 1,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.30 : 3,803.37 = 803.98 : x
  2. Step 2: Convert to fraction form
    2,536.30/3,803.37 = 803.98/x
  3. Step 3: Cross multiply
    2,536.30x = 3,803.37 × 803.98
  4. Step 4: Simplify right side
    2,536.30x = 3,057,833.41
  5. Step 5: Solve for x
    x = 3,057,833.41/2,536.30
  6. Step 6: Final answer
    x = 1,205.63

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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.