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Finding the Fourth Proportional to 1,913.21, 2,869.36 and 743.37

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Solution

The fourth proportional to 1,913.21, 2,869.36 and 743.37 is: 1,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.21 : 2,869.36 = 743.37 : x
  2. Step 2: Convert to fraction form
    1,913.21/2,869.36 = 743.37/x
  3. Step 3: Cross multiply
    1,913.21x = 2,869.36 × 743.37
  4. Step 4: Simplify right side
    1,913.21x = 2,132,996.14
  5. Step 5: Solve for x
    x = 2,132,996.14/1,913.21
  6. Step 6: Final answer
    x = 1,114.88

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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.