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Finding the Fourth Proportional to 4,201.92, 6,300.80 and 1,603.20

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Solution

The fourth proportional to 4,201.92, 6,300.80 and 1,603.20 is: 2,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.92 : 6,300.80 = 1,603.20 : x
  2. Step 2: Convert to fraction form
    4,201.92/6,300.80 = 1,603.20/x
  3. Step 3: Cross multiply
    4,201.92x = 6,300.80 × 1,603.20
  4. Step 4: Simplify right side
    4,201.92x = 10,101,442.56
  5. Step 5: Solve for x
    x = 10,101,442.56/4,201.92
  6. Step 6: Final answer
    x = 2,404.01

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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.