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Finding the Fourth Proportional to 2,833.51, 3,909.16 and 2,089.25

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Solution

The fourth proportional to 2,833.51, 3,909.16 and 2,089.25 is: 2,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.51 : 3,909.16 = 2,089.25 : x
  2. Step 2: Convert to fraction form
    2,833.51/3,909.16 = 2,089.25/x
  3. Step 3: Cross multiply
    2,833.51x = 3,909.16 × 2,089.25
  4. Step 4: Simplify right side
    2,833.51x = 8,167,212.53
  5. Step 5: Solve for x
    x = 8,167,212.53/2,833.51
  6. Step 6: Final answer
    x = 2,882.37

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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.