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Finding the Fourth Proportional to 3,233.76, 4,850.64 and 1,503.60

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Solution

The fourth proportional to 3,233.76, 4,850.64 and 1,503.60 is: 2,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.76 : 4,850.64 = 1,503.60 : x
  2. Step 2: Convert to fraction form
    3,233.76/4,850.64 = 1,503.60/x
  3. Step 3: Cross multiply
    3,233.76x = 4,850.64 × 1,503.60
  4. Step 4: Simplify right side
    3,233.76x = 7,293,422.30
  5. Step 5: Solve for x
    x = 7,293,422.30/3,233.76
  6. Step 6: Final answer
    x = 2,255.40

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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.