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Finding the Fourth Proportional to 3,153.54, 4,728.24 and 1,767.04

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Solution

The fourth proportional to 3,153.54, 4,728.24 and 1,767.04 is: 2,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.54 : 4,728.24 = 1,767.04 : x
  2. Step 2: Convert to fraction form
    3,153.54/4,728.24 = 1,767.04/x
  3. Step 3: Cross multiply
    3,153.54x = 4,728.24 × 1,767.04
  4. Step 4: Simplify right side
    3,153.54x = 8,354,989.21
  5. Step 5: Solve for x
    x = 8,354,989.21/3,153.54
  6. Step 6: Final answer
    x = 2,649.40

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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.