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Finding the Fourth Proportional to 2,409.64, 3,324.72 and 1,966.84

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Solution

The fourth proportional to 2,409.64, 3,324.72 and 1,966.84 is: 2,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.64 : 3,324.72 = 1,966.84 : x
  2. Step 2: Convert to fraction form
    2,409.64/3,324.72 = 1,966.84/x
  3. Step 3: Cross multiply
    2,409.64x = 3,324.72 × 1,966.84
  4. Step 4: Simplify right side
    2,409.64x = 6,539,192.28
  5. Step 5: Solve for x
    x = 6,539,192.28/2,409.64
  6. Step 6: Final answer
    x = 2,713.76

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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.