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Finding the Fourth Proportional to 2,409.46, 3,324.87 and 1,347.22

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Solution

The fourth proportional to 2,409.46, 3,324.87 and 1,347.22 is: 1,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.46 : 3,324.87 = 1,347.22 : x
  2. Step 2: Convert to fraction form
    2,409.46/3,324.87 = 1,347.22/x
  3. Step 3: Cross multiply
    2,409.46x = 3,324.87 × 1,347.22
  4. Step 4: Simplify right side
    2,409.46x = 4,479,331.36
  5. Step 5: Solve for x
    x = 4,479,331.36/2,409.46
  6. Step 6: Final answer
    x = 1,859.06

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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.