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Finding the Fourth Proportional to 2,409.06, 3,324.21 and 1,346.90

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Solution

The fourth proportional to 2,409.06, 3,324.21 and 1,346.90 is: 1,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.06 : 3,324.21 = 1,346.90 : x
  2. Step 2: Convert to fraction form
    2,409.06/3,324.21 = 1,346.90/x
  3. Step 3: Cross multiply
    2,409.06x = 3,324.21 × 1,346.90
  4. Step 4: Simplify right side
    2,409.06x = 4,477,378.45
  5. Step 5: Solve for x
    x = 4,477,378.45/2,409.06
  6. Step 6: Final answer
    x = 1,858.56

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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.