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Finding the Fourth Proportional to 1,954.15, 2,696.78 and 1,069.95

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Solution

The fourth proportional to 1,954.15, 2,696.78 and 1,069.95 is: 1,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.15 : 2,696.78 = 1,069.95 : x
  2. Step 2: Convert to fraction form
    1,954.15/2,696.78 = 1,069.95/x
  3. Step 3: Cross multiply
    1,954.15x = 2,696.78 × 1,069.95
  4. Step 4: Simplify right side
    1,954.15x = 2,885,414.41
  5. Step 5: Solve for x
    x = 2,885,414.41/1,954.15
  6. Step 6: Final answer
    x = 1,476.56

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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.