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Finding the Fourth Proportional to 1,912.34, 2,869.23 and 742.41

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Solution

The fourth proportional to 1,912.34, 2,869.23 and 742.41 is: 1,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.34 : 2,869.23 = 742.41 : x
  2. Step 2: Convert to fraction form
    1,912.34/2,869.23 = 742.41/x
  3. Step 3: Cross multiply
    1,912.34x = 2,869.23 × 742.41
  4. Step 4: Simplify right side
    1,912.34x = 2,130,145.04
  5. Step 5: Solve for x
    x = 2,130,145.04/1,912.34
  6. Step 6: Final answer
    x = 1,113.90

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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.