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Finding the Fourth Proportional to 1,838.79, 2,758.68 and 743.90

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Solution

The fourth proportional to 1,838.79, 2,758.68 and 743.90 is: 1,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.79 : 2,758.68 = 743.90 : x
  2. Step 2: Convert to fraction form
    1,838.79/2,758.68 = 743.90/x
  3. Step 3: Cross multiply
    1,838.79x = 2,758.68 × 743.90
  4. Step 4: Simplify right side
    1,838.79x = 2,052,168.26
  5. Step 5: Solve for x
    x = 2,052,168.26/1,838.79
  6. Step 6: Final answer
    x = 1,116.04

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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.