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Finding the Fourth Proportional to 4,246.90, 6,372.82 and 1,781.50

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Solution

The fourth proportional to 4,246.90, 6,372.82 and 1,781.50 is: 2,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246.90 : 6,372.82 = 1,781.50 : x
  2. Step 2: Convert to fraction form
    4,246.90/6,372.82 = 1,781.50/x
  3. Step 3: Cross multiply
    4,246.90x = 6,372.82 × 1,781.50
  4. Step 4: Simplify right side
    4,246.90x = 11,353,178.83
  5. Step 5: Solve for x
    x = 11,353,178.83/4,246.90
  6. Step 6: Final answer
    x = 2,673.29

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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.