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Finding the Fourth Proportional to 1,763.24, 2,638.24 and 1,096.34

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Solution

The fourth proportional to 1,763.24, 2,638.24 and 1,096.34 is: 1,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.24 : 2,638.24 = 1,096.34 : x
  2. Step 2: Convert to fraction form
    1,763.24/2,638.24 = 1,096.34/x
  3. Step 3: Cross multiply
    1,763.24x = 2,638.24 × 1,096.34
  4. Step 4: Simplify right side
    1,763.24x = 2,892,392.11
  5. Step 5: Solve for x
    x = 2,892,392.11/1,763.24
  6. Step 6: Final answer
    x = 1,640.39

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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.