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Finding the Fourth Proportional to 3,102.85, 4,655.09 and 1,803.21

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Solution

The fourth proportional to 3,102.85, 4,655.09 and 1,803.21 is: 2,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.85 : 4,655.09 = 1,803.21 : x
  2. Step 2: Convert to fraction form
    3,102.85/4,655.09 = 1,803.21/x
  3. Step 3: Cross multiply
    3,102.85x = 4,655.09 × 1,803.21
  4. Step 4: Simplify right side
    3,102.85x = 8,394,104.84
  5. Step 5: Solve for x
    x = 8,394,104.84/3,102.85
  6. Step 6: Final answer
    x = 2,705.29

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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.