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Finding the Fourth Proportional to 1,691.47, 2,336.49 and 1,361.17

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Solution

The fourth proportional to 1,691.47, 2,336.49 and 1,361.17 is: 1,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.47 : 2,336.49 = 1,361.17 : x
  2. Step 2: Convert to fraction form
    1,691.47/2,336.49 = 1,361.17/x
  3. Step 3: Cross multiply
    1,691.47x = 2,336.49 × 1,361.17
  4. Step 4: Simplify right side
    1,691.47x = 3,180,360.09
  5. Step 5: Solve for x
    x = 3,180,360.09/1,691.47
  6. Step 6: Final answer
    x = 1,880.23

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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.