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Finding the Fourth Proportional to 2,774.82, 3,829.17 and 1,596.06

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Solution

The fourth proportional to 2,774.82, 3,829.17 and 1,596.06 is: 2,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.82 : 3,829.17 = 1,596.06 : x
  2. Step 2: Convert to fraction form
    2,774.82/3,829.17 = 1,596.06/x
  3. Step 3: Cross multiply
    2,774.82x = 3,829.17 × 1,596.06
  4. Step 4: Simplify right side
    2,774.82x = 6,111,585.07
  5. Step 5: Solve for x
    x = 6,111,585.07/2,774.82
  6. Step 6: Final answer
    x = 2,202.52

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Why These Related Problems?

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