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Finding the Fourth Proportional to 3,203.76, 4,421.32 and 2,024.40

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Solution

The fourth proportional to 3,203.76, 4,421.32 and 2,024.40 is: 2,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.76 : 4,421.32 = 2,024.40 : x
  2. Step 2: Convert to fraction form
    3,203.76/4,421.32 = 2,024.40/x
  3. Step 3: Cross multiply
    3,203.76x = 4,421.32 × 2,024.40
  4. Step 4: Simplify right side
    3,203.76x = 8,950,520.21
  5. Step 5: Solve for x
    x = 8,950,520.21/3,203.76
  6. Step 6: Final answer
    x = 2,793.75

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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.