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Finding the Fourth Proportional to 3,203.75, 4,800.16 and 1,740.29

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Solution

The fourth proportional to 3,203.75, 4,800.16 and 1,740.29 is: 2,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.75 : 4,800.16 = 1,740.29 : x
  2. Step 2: Convert to fraction form
    3,203.75/4,800.16 = 1,740.29/x
  3. Step 3: Cross multiply
    3,203.75x = 4,800.16 × 1,740.29
  4. Step 4: Simplify right side
    3,203.75x = 8,353,648.62
  5. Step 5: Solve for x
    x = 8,353,648.62/3,203.75
  6. Step 6: Final answer
    x = 2,607.46

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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.