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Finding the Fourth Proportional to 3,243.64, 4,865.94 and 1,600.29

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Solution

The fourth proportional to 3,243.64, 4,865.94 and 1,600.29 is: 2,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.64 : 4,865.94 = 1,600.29 : x
  2. Step 2: Convert to fraction form
    3,243.64/4,865.94 = 1,600.29/x
  3. Step 3: Cross multiply
    3,243.64x = 4,865.94 × 1,600.29
  4. Step 4: Simplify right side
    3,243.64x = 7,786,915.12
  5. Step 5: Solve for x
    x = 7,786,915.12/3,243.64
  6. Step 6: Final answer
    x = 2,400.67

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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.