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Finding the Fourth Proportional to 1,968.45, 2,718.05 and 1,340.30

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Solution

The fourth proportional to 1,968.45, 2,718.05 and 1,340.30 is: 1,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.45 : 2,718.05 = 1,340.30 : x
  2. Step 2: Convert to fraction form
    1,968.45/2,718.05 = 1,340.30/x
  3. Step 3: Cross multiply
    1,968.45x = 2,718.05 × 1,340.30
  4. Step 4: Simplify right side
    1,968.45x = 3,642,982.12
  5. Step 5: Solve for x
    x = 3,642,982.12/1,968.45
  6. Step 6: Final answer
    x = 1,850.69

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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.