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Finding the Fourth Proportional to 3,096, 4,641.84 and 1,452.24

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Solution

The fourth proportional to 3,096, 4,641.84 and 1,452.24 is: 2,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 4,641.84 = 1,452.24 : x
  2. Step 2: Convert to fraction form
    3,096/4,641.84 = 1,452.24/x
  3. Step 3: Cross multiply
    3,096x = 4,641.84 × 1,452.24
  4. Step 4: Simplify right side
    3,096x = 6,741,065.72
  5. Step 5: Solve for x
    x = 6,741,065.72/3,096
  6. Step 6: Final answer
    x = 2,177.35

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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.