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Finding the Fourth Proportional to 1,912.80, 2,866.95 and 1,133.16

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Solution

The fourth proportional to 1,912.80, 2,866.95 and 1,133.16 is: 1,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.80 : 2,866.95 = 1,133.16 : x
  2. Step 2: Convert to fraction form
    1,912.80/2,866.95 = 1,133.16/x
  3. Step 3: Cross multiply
    1,912.80x = 2,866.95 × 1,133.16
  4. Step 4: Simplify right side
    1,912.80x = 3,248,713.06
  5. Step 5: Solve for x
    x = 3,248,713.06/1,912.80
  6. Step 6: Final answer
    x = 1,698.41

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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.