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Finding the Fourth Proportional to 3,263.78, 4,503.98 and 1,828.14

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Solution

The fourth proportional to 3,263.78, 4,503.98 and 1,828.14 is: 2,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.78 : 4,503.98 = 1,828.14 : x
  2. Step 2: Convert to fraction form
    3,263.78/4,503.98 = 1,828.14/x
  3. Step 3: Cross multiply
    3,263.78x = 4,503.98 × 1,828.14
  4. Step 4: Simplify right side
    3,263.78x = 8,233,906.00
  5. Step 5: Solve for x
    x = 8,233,906.00/3,263.78
  6. Step 6: Final answer
    x = 2,522.81

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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.