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Finding the Fourth Proportional to 2,409.66, 3,325.23 and 1,361.82

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Solution

The fourth proportional to 2,409.66, 3,325.23 and 1,361.82 is: 1,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.66 : 3,325.23 = 1,361.82 : x
  2. Step 2: Convert to fraction form
    2,409.66/3,325.23 = 1,361.82/x
  3. Step 3: Cross multiply
    2,409.66x = 3,325.23 × 1,361.82
  4. Step 4: Simplify right side
    2,409.66x = 4,528,364.72
  5. Step 5: Solve for x
    x = 4,528,364.72/2,409.66
  6. Step 6: Final answer
    x = 1,879.25

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Why These Related Problems?

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