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Finding the Fourth Proportional to 2,054.63, 3,081.46 and 821.71

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Solution

The fourth proportional to 2,054.63, 3,081.46 and 821.71 is: 1,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.63 : 3,081.46 = 821.71 : x
  2. Step 2: Convert to fraction form
    2,054.63/3,081.46 = 821.71/x
  3. Step 3: Cross multiply
    2,054.63x = 3,081.46 × 821.71
  4. Step 4: Simplify right side
    2,054.63x = 2,532,052.50
  5. Step 5: Solve for x
    x = 2,532,052.50/2,054.63
  6. Step 6: Final answer
    x = 1,232.37

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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.