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Finding the Fourth Proportional to 1,912.51, 2,866.34 and 1,047.43

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Solution

The fourth proportional to 1,912.51, 2,866.34 and 1,047.43 is: 1,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.51 : 2,866.34 = 1,047.43 : x
  2. Step 2: Convert to fraction form
    1,912.51/2,866.34 = 1,047.43/x
  3. Step 3: Cross multiply
    1,912.51x = 2,866.34 × 1,047.43
  4. Step 4: Simplify right side
    1,912.51x = 3,002,290.82
  5. Step 5: Solve for x
    x = 3,002,290.82/1,912.51
  6. Step 6: Final answer
    x = 1,569.82

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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.