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Finding the Fourth Proportional to 2,775.06, 3,829.14 and 1,596.24

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Solution

The fourth proportional to 2,775.06, 3,829.14 and 1,596.24 is: 2,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.06 : 3,829.14 = 1,596.24 : x
  2. Step 2: Convert to fraction form
    2,775.06/3,829.14 = 1,596.24/x
  3. Step 3: Cross multiply
    2,775.06x = 3,829.14 × 1,596.24
  4. Step 4: Simplify right side
    2,775.06x = 6,112,226.43
  5. Step 5: Solve for x
    x = 6,112,226.43/2,775.06
  6. Step 6: Final answer
    x = 2,202.56

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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.