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Finding the Fourth Proportional to 2,094.62, 3,117.99 and 2,063.48

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Solution

The fourth proportional to 2,094.62, 3,117.99 and 2,063.48 is: 3,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.62 : 3,117.99 = 2,063.48 : x
  2. Step 2: Convert to fraction form
    2,094.62/3,117.99 = 2,063.48/x
  3. Step 3: Cross multiply
    2,094.62x = 3,117.99 × 2,063.48
  4. Step 4: Simplify right side
    2,094.62x = 6,433,899.69
  5. Step 5: Solve for x
    x = 6,433,899.69/2,094.62
  6. Step 6: Final answer
    x = 3,071.63

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