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Finding the Fourth Proportional to 2,803.88, 4,204.44 and 1,634.31

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Solution

The fourth proportional to 2,803.88, 4,204.44 and 1,634.31 is: 2,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.88 : 4,204.44 = 1,634.31 : x
  2. Step 2: Convert to fraction form
    2,803.88/4,204.44 = 1,634.31/x
  3. Step 3: Cross multiply
    2,803.88x = 4,204.44 × 1,634.31
  4. Step 4: Simplify right side
    2,803.88x = 6,871,358.34
  5. Step 5: Solve for x
    x = 6,871,358.34/2,803.88
  6. Step 6: Final answer
    x = 2,450.66

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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.