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Finding the Fourth Proportional to 1,912.56, 2,869.68 and 1,483.44

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Solution

The fourth proportional to 1,912.56, 2,869.68 and 1,483.44 is: 2,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.56 : 2,869.68 = 1,483.44 : x
  2. Step 2: Convert to fraction form
    1,912.56/2,869.68 = 1,483.44/x
  3. Step 3: Cross multiply
    1,912.56x = 2,869.68 × 1,483.44
  4. Step 4: Simplify right side
    1,912.56x = 4,256,998.10
  5. Step 5: Solve for x
    x = 4,256,998.10/1,912.56
  6. Step 6: Final answer
    x = 2,225.81

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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.