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Finding the Fourth Proportional to 2,759.36, 3,805.77 and 2,289.16

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Solution

The fourth proportional to 2,759.36, 3,805.77 and 2,289.16 is: 3,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.36 : 3,805.77 = 2,289.16 : x
  2. Step 2: Convert to fraction form
    2,759.36/3,805.77 = 2,289.16/x
  3. Step 3: Cross multiply
    2,759.36x = 3,805.77 × 2,289.16
  4. Step 4: Simplify right side
    2,759.36x = 8,711,985.98
  5. Step 5: Solve for x
    x = 8,711,985.98/2,759.36
  6. Step 6: Final answer
    x = 3,157.25

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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.