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Finding the Fourth Proportional to 1,969.28, 2,718.30 and 1,340.60

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Solution

The fourth proportional to 1,969.28, 2,718.30 and 1,340.60 is: 1,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.28 : 2,718.30 = 1,340.60 : x
  2. Step 2: Convert to fraction form
    1,969.28/2,718.30 = 1,340.60/x
  3. Step 3: Cross multiply
    1,969.28x = 2,718.30 × 1,340.60
  4. Step 4: Simplify right side
    1,969.28x = 3,644,152.98
  5. Step 5: Solve for x
    x = 3,644,152.98/1,969.28
  6. Step 6: Final answer
    x = 1,850.50

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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.