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Finding the Fourth Proportional to 2,762.85, 3,810.60 and 2,344.35

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Solution

The fourth proportional to 2,762.85, 3,810.60 and 2,344.35 is: 3,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.85 : 3,810.60 = 2,344.35 : x
  2. Step 2: Convert to fraction form
    2,762.85/3,810.60 = 2,344.35/x
  3. Step 3: Cross multiply
    2,762.85x = 3,810.60 × 2,344.35
  4. Step 4: Simplify right side
    2,762.85x = 8,933,380.11
  5. Step 5: Solve for x
    x = 8,933,380.11/2,762.85
  6. Step 6: Final answer
    x = 3,233.39

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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.