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Finding the Fourth Proportional to 1,969.16, 2,717.22 and 1,084.90

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Solution

The fourth proportional to 1,969.16, 2,717.22 and 1,084.90 is: 1,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.16 : 2,717.22 = 1,084.90 : x
  2. Step 2: Convert to fraction form
    1,969.16/2,717.22 = 1,084.90/x
  3. Step 3: Cross multiply
    1,969.16x = 2,717.22 × 1,084.90
  4. Step 4: Simplify right side
    1,969.16x = 2,947,911.98
  5. Step 5: Solve for x
    x = 2,947,911.98/1,969.16
  6. Step 6: Final answer
    x = 1,497.04

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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.