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Finding the Fourth Proportional to 2,559.15, 3,833.06 and 2,069.91

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Solution

The fourth proportional to 2,559.15, 3,833.06 and 2,069.91 is: 3,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.15 : 3,833.06 = 2,069.91 : x
  2. Step 2: Convert to fraction form
    2,559.15/3,833.06 = 2,069.91/x
  3. Step 3: Cross multiply
    2,559.15x = 3,833.06 × 2,069.91
  4. Step 4: Simplify right side
    2,559.15x = 7,934,078.88
  5. Step 5: Solve for x
    x = 7,934,078.88/2,559.15
  6. Step 6: Final answer
    x = 3,100.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.