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Finding the Fourth Proportional to 2,406.10, 3,601.95 and 2,263.70

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Solution

The fourth proportional to 2,406.10, 3,601.95 and 2,263.70 is: 3,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.10 : 3,601.95 = 2,263.70 : x
  2. Step 2: Convert to fraction form
    2,406.10/3,601.95 = 2,263.70/x
  3. Step 3: Cross multiply
    2,406.10x = 3,601.95 × 2,263.70
  4. Step 4: Simplify right side
    2,406.10x = 8,153,734.22
  5. Step 5: Solve for x
    x = 8,153,734.22/2,406.10
  6. Step 6: Final answer
    x = 3,388.78

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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.