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Finding the Fourth Proportional to 3,266.90, 4,892.50 and 1,876.03

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Solution

The fourth proportional to 3,266.90, 4,892.50 and 1,876.03 is: 2,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.90 : 4,892.50 = 1,876.03 : x
  2. Step 2: Convert to fraction form
    3,266.90/4,892.50 = 1,876.03/x
  3. Step 3: Cross multiply
    3,266.90x = 4,892.50 × 1,876.03
  4. Step 4: Simplify right side
    3,266.90x = 9,178,466.89
  5. Step 5: Solve for x
    x = 9,178,466.89/3,266.90
  6. Step 6: Final answer
    x = 2,809.54

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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.