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Finding the Fourth Proportional to 1,866.84, 2,797.56 and 1,378.68

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Solution

The fourth proportional to 1,866.84, 2,797.56 and 1,378.68 is: 2,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.84 : 2,797.56 = 1,378.68 : x
  2. Step 2: Convert to fraction form
    1,866.84/2,797.56 = 1,378.68/x
  3. Step 3: Cross multiply
    1,866.84x = 2,797.56 × 1,378.68
  4. Step 4: Simplify right side
    1,866.84x = 3,856,940.02
  5. Step 5: Solve for x
    x = 3,856,940.02/1,866.84
  6. Step 6: Final answer
    x = 2,066.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.