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Finding the Fourth Proportional to 2,411.70, 3,324.30 and 1,968.84

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Solution

The fourth proportional to 2,411.70, 3,324.30 and 1,968.84 is: 2,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.70 : 3,324.30 = 1,968.84 : x
  2. Step 2: Convert to fraction form
    2,411.70/3,324.30 = 1,968.84/x
  3. Step 3: Cross multiply
    2,411.70x = 3,324.30 × 1,968.84
  4. Step 4: Simplify right side
    2,411.70x = 6,545,014.81
  5. Step 5: Solve for x
    x = 6,545,014.81/2,411.70
  6. Step 6: Final answer
    x = 2,713.86

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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.