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Finding the Fourth Proportional to 3,096.80, 4,648.80 and 1,865.60

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Solution

The fourth proportional to 3,096.80, 4,648.80 and 1,865.60 is: 2,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.80 : 4,648.80 = 1,865.60 : x
  2. Step 2: Convert to fraction form
    3,096.80/4,648.80 = 1,865.60/x
  3. Step 3: Cross multiply
    3,096.80x = 4,648.80 × 1,865.60
  4. Step 4: Simplify right side
    3,096.80x = 8,672,801.28
  5. Step 5: Solve for x
    x = 8,672,801.28/3,096.80
  6. Step 6: Final answer
    x = 2,800.57

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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.