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Finding the Fourth Proportional to 2,063.81, 3,094.07 and 1,076.15

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Solution

The fourth proportional to 2,063.81, 3,094.07 and 1,076.15 is: 1,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.81 : 3,094.07 = 1,076.15 : x
  2. Step 2: Convert to fraction form
    2,063.81/3,094.07 = 1,076.15/x
  3. Step 3: Cross multiply
    2,063.81x = 3,094.07 × 1,076.15
  4. Step 4: Simplify right side
    2,063.81x = 3,329,685.78
  5. Step 5: Solve for x
    x = 3,329,685.78/2,063.81
  6. Step 6: Final answer
    x = 1,613.37

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