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Finding the Fourth Proportional to 1,968.95, 2,717.14 and 1,084.75

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Solution

The fourth proportional to 1,968.95, 2,717.14 and 1,084.75 is: 1,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.95 : 2,717.14 = 1,084.75 : x
  2. Step 2: Convert to fraction form
    1,968.95/2,717.14 = 1,084.75/x
  3. Step 3: Cross multiply
    1,968.95x = 2,717.14 × 1,084.75
  4. Step 4: Simplify right side
    1,968.95x = 2,947,417.62
  5. Step 5: Solve for x
    x = 2,947,417.62/1,968.95
  6. Step 6: Final answer
    x = 1,496.95

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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.