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Finding the Fourth Proportional to 2,409.57, 3,325.31 and 1,361.63

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Solution

The fourth proportional to 2,409.57, 3,325.31 and 1,361.63 is: 1,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.57 : 3,325.31 = 1,361.63 : x
  2. Step 2: Convert to fraction form
    2,409.57/3,325.31 = 1,361.63/x
  3. Step 3: Cross multiply
    2,409.57x = 3,325.31 × 1,361.63
  4. Step 4: Simplify right side
    2,409.57x = 4,527,818.42
  5. Step 5: Solve for x
    x = 4,527,818.42/2,409.57
  6. Step 6: Final answer
    x = 1,879.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.