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Finding the Fourth Proportional to 3,256, 4,884.08 and 1,176.18

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Solution

The fourth proportional to 3,256, 4,884.08 and 1,176.18 is: 1,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256 : 4,884.08 = 1,176.18 : x
  2. Step 2: Convert to fraction form
    3,256/4,884.08 = 1,176.18/x
  3. Step 3: Cross multiply
    3,256x = 4,884.08 × 1,176.18
  4. Step 4: Simplify right side
    3,256x = 5,744,557.21
  5. Step 5: Solve for x
    x = 5,744,557.21/3,256
  6. Step 6: Final answer
    x = 1,764.30

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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.