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Finding the Fourth Proportional to 2,074.46, 3,094.70 and 2,017.98

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Solution

The fourth proportional to 2,074.46, 3,094.70 and 2,017.98 is: 3,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.46 : 3,094.70 = 2,017.98 : x
  2. Step 2: Convert to fraction form
    2,074.46/3,094.70 = 2,017.98/x
  3. Step 3: Cross multiply
    2,074.46x = 3,094.70 × 2,017.98
  4. Step 4: Simplify right side
    2,074.46x = 6,245,032.62
  5. Step 5: Solve for x
    x = 6,245,032.62/2,074.46
  6. Step 6: Final answer
    x = 3,010.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.