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Finding the Fourth Proportional to 3,102.46, 4,647.44 and 1,866.08

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Solution

The fourth proportional to 3,102.46, 4,647.44 and 1,866.08 is: 2,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.46 : 4,647.44 = 1,866.08 : x
  2. Step 2: Convert to fraction form
    3,102.46/4,647.44 = 1,866.08/x
  3. Step 3: Cross multiply
    3,102.46x = 4,647.44 × 1,866.08
  4. Step 4: Simplify right side
    3,102.46x = 8,672,511.12
  5. Step 5: Solve for x
    x = 8,672,511.12/3,102.46
  6. Step 6: Final answer
    x = 2,795.37

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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.