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Finding the Fourth Proportional to 3,071.60, 4,239.26 and 1,745.02

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Solution

The fourth proportional to 3,071.60, 4,239.26 and 1,745.02 is: 2,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.60 : 4,239.26 = 1,745.02 : x
  2. Step 2: Convert to fraction form
    3,071.60/4,239.26 = 1,745.02/x
  3. Step 3: Cross multiply
    3,071.60x = 4,239.26 × 1,745.02
  4. Step 4: Simplify right side
    3,071.60x = 7,397,593.49
  5. Step 5: Solve for x
    x = 7,397,593.49/3,071.60
  6. Step 6: Final answer
    x = 2,408.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.