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Finding the Fourth Proportional to 2,775.42, 3,830.31 and 1,596.72

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Solution

The fourth proportional to 2,775.42, 3,830.31 and 1,596.72 is: 2,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.42 : 3,830.31 = 1,596.72 : x
  2. Step 2: Convert to fraction form
    2,775.42/3,830.31 = 1,596.72/x
  3. Step 3: Cross multiply
    2,775.42x = 3,830.31 × 1,596.72
  4. Step 4: Simplify right side
    2,775.42x = 6,115,932.58
  5. Step 5: Solve for x
    x = 6,115,932.58/2,775.42
  6. Step 6: Final answer
    x = 2,203.61

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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.