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Finding the Fourth Proportional to 1,984.94, 2,738.99 and 1,145.64

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Solution

The fourth proportional to 1,984.94, 2,738.99 and 1,145.64 is: 1,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.94 : 2,738.99 = 1,145.64 : x
  2. Step 2: Convert to fraction form
    1,984.94/2,738.99 = 1,145.64/x
  3. Step 3: Cross multiply
    1,984.94x = 2,738.99 × 1,145.64
  4. Step 4: Simplify right side
    1,984.94x = 3,137,896.50
  5. Step 5: Solve for x
    x = 3,137,896.50/1,984.94
  6. Step 6: Final answer
    x = 1,580.85

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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.