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Finding the Fourth Proportional to 2,833.56, 3,914.26 and 2,695.16

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Solution

The fourth proportional to 2,833.56, 3,914.26 and 2,695.16 is: 3,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.56 : 3,914.26 = 2,695.16 : x
  2. Step 2: Convert to fraction form
    2,833.56/3,914.26 = 2,695.16/x
  3. Step 3: Cross multiply
    2,833.56x = 3,914.26 × 2,695.16
  4. Step 4: Simplify right side
    2,833.56x = 10,549,560.03
  5. Step 5: Solve for x
    x = 10,549,560.03/2,833.56
  6. Step 6: Final answer
    x = 3,723.08

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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.