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Finding the Fourth Proportional to 3,052.26, 4,580.26 and 1,408.92

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Solution

The fourth proportional to 3,052.26, 4,580.26 and 1,408.92 is: 2,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.26 : 4,580.26 = 1,408.92 : x
  2. Step 2: Convert to fraction form
    3,052.26/4,580.26 = 1,408.92/x
  3. Step 3: Cross multiply
    3,052.26x = 4,580.26 × 1,408.92
  4. Step 4: Simplify right side
    3,052.26x = 6,453,212.87
  5. Step 5: Solve for x
    x = 6,453,212.87/3,052.26
  6. Step 6: Final answer
    x = 2,114.24

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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.