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Finding the Fourth Proportional to 2,645.85, 3,968.81 and 1,823.90

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Solution

The fourth proportional to 2,645.85, 3,968.81 and 1,823.90 is: 2,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.85 : 3,968.81 = 1,823.90 : x
  2. Step 2: Convert to fraction form
    2,645.85/3,968.81 = 1,823.90/x
  3. Step 3: Cross multiply
    2,645.85x = 3,968.81 × 1,823.90
  4. Step 4: Simplify right side
    2,645.85x = 7,238,703.44
  5. Step 5: Solve for x
    x = 7,238,703.44/2,645.85
  6. Step 6: Final answer
    x = 2,735.87

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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.