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Finding the Fourth Proportional to 2,767.63, 4,152.11 and 793.29

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Solution

The fourth proportional to 2,767.63, 4,152.11 and 793.29 is: 1,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.63 : 4,152.11 = 793.29 : x
  2. Step 2: Convert to fraction form
    2,767.63/4,152.11 = 793.29/x
  3. Step 3: Cross multiply
    2,767.63x = 4,152.11 × 793.29
  4. Step 4: Simplify right side
    2,767.63x = 3,293,827.34
  5. Step 5: Solve for x
    x = 3,293,827.34/2,767.63
  6. Step 6: Final answer
    x = 1,190.13

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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.