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Finding the Fourth Proportional to 2,735.12, 3,774.12 and 1,539.96

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Solution

The fourth proportional to 2,735.12, 3,774.12 and 1,539.96 is: 2,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.12 : 3,774.12 = 1,539.96 : x
  2. Step 2: Convert to fraction form
    2,735.12/3,774.12 = 1,539.96/x
  3. Step 3: Cross multiply
    2,735.12x = 3,774.12 × 1,539.96
  4. Step 4: Simplify right side
    2,735.12x = 5,811,993.84
  5. Step 5: Solve for x
    x = 5,811,993.84/2,735.12
  6. Step 6: Final answer
    x = 2,124.95

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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.