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Finding the Fourth Proportional to 1,912.04, 2,869.68 and 1,365.56

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Solution

The fourth proportional to 1,912.04, 2,869.68 and 1,365.56 is: 2,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.04 : 2,869.68 = 1,365.56 : x
  2. Step 2: Convert to fraction form
    1,912.04/2,869.68 = 1,365.56/x
  3. Step 3: Cross multiply
    1,912.04x = 2,869.68 × 1,365.56
  4. Step 4: Simplify right side
    1,912.04x = 3,918,720.22
  5. Step 5: Solve for x
    x = 3,918,720.22/1,912.04
  6. Step 6: Final answer
    x = 2,049.50

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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.