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Finding the Fourth Proportional to 2,775.67, 3,830.79 and 1,596.52

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Solution

The fourth proportional to 2,775.67, 3,830.79 and 1,596.52 is: 2,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.67 : 3,830.79 = 1,596.52 : x
  2. Step 2: Convert to fraction form
    2,775.67/3,830.79 = 1,596.52/x
  3. Step 3: Cross multiply
    2,775.67x = 3,830.79 × 1,596.52
  4. Step 4: Simplify right side
    2,775.67x = 6,115,932.85
  5. Step 5: Solve for x
    x = 6,115,932.85/2,775.67
  6. Step 6: Final answer
    x = 2,203.41

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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.