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Finding the Fourth Proportional to 2,745.90, 4,116.42 and 1,650.78

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Solution

The fourth proportional to 2,745.90, 4,116.42 and 1,650.78 is: 2,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.90 : 4,116.42 = 1,650.78 : x
  2. Step 2: Convert to fraction form
    2,745.90/4,116.42 = 1,650.78/x
  3. Step 3: Cross multiply
    2,745.90x = 4,116.42 × 1,650.78
  4. Step 4: Simplify right side
    2,745.90x = 6,795,303.81
  5. Step 5: Solve for x
    x = 6,795,303.81/2,745.90
  6. Step 6: Final answer
    x = 2,474.71

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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.