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Finding the Fourth Proportional to 3,497.98, 4,827.26 and 2,081.74

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Solution

The fourth proportional to 3,497.98, 4,827.26 and 2,081.74 is: 2,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.98 : 4,827.26 = 2,081.74 : x
  2. Step 2: Convert to fraction form
    3,497.98/4,827.26 = 2,081.74/x
  3. Step 3: Cross multiply
    3,497.98x = 4,827.26 × 2,081.74
  4. Step 4: Simplify right side
    3,497.98x = 10,049,100.23
  5. Step 5: Solve for x
    x = 10,049,100.23/3,497.98
  6. Step 6: Final answer
    x = 2,872.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.