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Finding the Fourth Proportional to 2,774.31, 3,829.19 and 1,596.06

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Solution

The fourth proportional to 2,774.31, 3,829.19 and 1,596.06 is: 2,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.31 : 3,829.19 = 1,596.06 : x
  2. Step 2: Convert to fraction form
    2,774.31/3,829.19 = 1,596.06/x
  3. Step 3: Cross multiply
    2,774.31x = 3,829.19 × 1,596.06
  4. Step 4: Simplify right side
    2,774.31x = 6,111,616.99
  5. Step 5: Solve for x
    x = 6,111,616.99/2,774.31
  6. Step 6: Final answer
    x = 2,202.93

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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.