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Finding the Fourth Proportional to 3,102.92, 4,652.94 and 1,804.76

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Solution

The fourth proportional to 3,102.92, 4,652.94 and 1,804.76 is: 2,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.92 : 4,652.94 = 1,804.76 : x
  2. Step 2: Convert to fraction form
    3,102.92/4,652.94 = 1,804.76/x
  3. Step 3: Cross multiply
    3,102.92x = 4,652.94 × 1,804.76
  4. Step 4: Simplify right side
    3,102.92x = 8,397,439.99
  5. Step 5: Solve for x
    x = 8,397,439.99/3,102.92
  6. Step 6: Final answer
    x = 2,706.30

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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.