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Finding the Fourth Proportional to 2,770.36, 3,822.54 and 1,762.46

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Solution

The fourth proportional to 2,770.36, 3,822.54 and 1,762.46 is: 2,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.36 : 3,822.54 = 1,762.46 : x
  2. Step 2: Convert to fraction form
    2,770.36/3,822.54 = 1,762.46/x
  3. Step 3: Cross multiply
    2,770.36x = 3,822.54 × 1,762.46
  4. Step 4: Simplify right side
    2,770.36x = 6,737,083.96
  5. Step 5: Solve for x
    x = 6,737,083.96/2,770.36
  6. Step 6: Final answer
    x = 2,431.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.