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Finding the Fourth Proportional to 3,071.89, 4,238.90 and 1,745.35

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Solution

The fourth proportional to 3,071.89, 4,238.90 and 1,745.35 is: 2,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.89 : 4,238.90 = 1,745.35 : x
  2. Step 2: Convert to fraction form
    3,071.89/4,238.90 = 1,745.35/x
  3. Step 3: Cross multiply
    3,071.89x = 4,238.90 × 1,745.35
  4. Step 4: Simplify right side
    3,071.89x = 7,398,351.34
  5. Step 5: Solve for x
    x = 7,398,351.34/3,071.89
  6. Step 6: Final answer
    x = 2,408.40

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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.