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Finding the Fourth Proportional to 2,770.82, 3,824.35 and 1,762.32

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Solution

The fourth proportional to 2,770.82, 3,824.35 and 1,762.32 is: 2,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.82 : 3,824.35 = 1,762.32 : x
  2. Step 2: Convert to fraction form
    2,770.82/3,824.35 = 1,762.32/x
  3. Step 3: Cross multiply
    2,770.82x = 3,824.35 × 1,762.32
  4. Step 4: Simplify right side
    2,770.82x = 6,739,738.43
  5. Step 5: Solve for x
    x = 6,739,738.43/2,770.82
  6. Step 6: Final answer
    x = 2,432.40

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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.