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Finding the Fourth Proportional to 2,409.77, 3,612.20 and 1,367.57

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Solution

The fourth proportional to 2,409.77, 3,612.20 and 1,367.57 is: 2,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.77 : 3,612.20 = 1,367.57 : x
  2. Step 2: Convert to fraction form
    2,409.77/3,612.20 = 1,367.57/x
  3. Step 3: Cross multiply
    2,409.77x = 3,612.20 × 1,367.57
  4. Step 4: Simplify right side
    2,409.77x = 4,939,941.11
  5. Step 5: Solve for x
    x = 4,939,941.11/2,409.77
  6. Step 6: Final answer
    x = 2,049.96

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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.