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Finding the Fourth Proportional to 2,059.75, 3,081.88 and 1,444.66

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Solution

The fourth proportional to 2,059.75, 3,081.88 and 1,444.66 is: 2,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.75 : 3,081.88 = 1,444.66 : x
  2. Step 2: Convert to fraction form
    2,059.75/3,081.88 = 1,444.66/x
  3. Step 3: Cross multiply
    2,059.75x = 3,081.88 × 1,444.66
  4. Step 4: Simplify right side
    2,059.75x = 4,452,268.76
  5. Step 5: Solve for x
    x = 4,452,268.76/2,059.75
  6. Step 6: Final answer
    x = 2,161.56

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Why These Related Problems?

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