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Finding the Fourth Proportional to 2,445.55, 3,664.07 and 1,469.50

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Solution

The fourth proportional to 2,445.55, 3,664.07 and 1,469.50 is: 2,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.55 : 3,664.07 = 1,469.50 : x
  2. Step 2: Convert to fraction form
    2,445.55/3,664.07 = 1,469.50/x
  3. Step 3: Cross multiply
    2,445.55x = 3,664.07 × 1,469.50
  4. Step 4: Simplify right side
    2,445.55x = 5,384,339.87
  5. Step 5: Solve for x
    x = 5,384,339.87/2,445.55
  6. Step 6: Final answer
    x = 2,201.69

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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.