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Finding the Fourth Proportional to 4,201.88, 6,302.81 and 1,605.42

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Solution

The fourth proportional to 4,201.88, 6,302.81 and 1,605.42 is: 2,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.88 : 6,302.81 = 1,605.42 : x
  2. Step 2: Convert to fraction form
    4,201.88/6,302.81 = 1,605.42/x
  3. Step 3: Cross multiply
    4,201.88x = 6,302.81 × 1,605.42
  4. Step 4: Simplify right side
    4,201.88x = 10,118,661.24
  5. Step 5: Solve for x
    x = 10,118,661.24/4,201.88
  6. Step 6: Final answer
    x = 2,408.13

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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.