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Finding the Fourth Proportional to 1,912.82, 2,862.50 and 1,172.20

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Solution

The fourth proportional to 1,912.82, 2,862.50 and 1,172.20 is: 1,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.82 : 2,862.50 = 1,172.20 : x
  2. Step 2: Convert to fraction form
    1,912.82/2,862.50 = 1,172.20/x
  3. Step 3: Cross multiply
    1,912.82x = 2,862.50 × 1,172.20
  4. Step 4: Simplify right side
    1,912.82x = 3,355,422.50
  5. Step 5: Solve for x
    x = 3,355,422.50/1,912.82
  6. Step 6: Final answer
    x = 1,754.18

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Why These Related Problems?

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