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Finding the Fourth Proportional to 3,094.44, 4,642.37 and 1,014.56

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Solution

The fourth proportional to 3,094.44, 4,642.37 and 1,014.56 is: 1,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.44 : 4,642.37 = 1,014.56 : x
  2. Step 2: Convert to fraction form
    3,094.44/4,642.37 = 1,014.56/x
  3. Step 3: Cross multiply
    3,094.44x = 4,642.37 × 1,014.56
  4. Step 4: Simplify right side
    3,094.44x = 4,709,934.62
  5. Step 5: Solve for x
    x = 4,709,934.62/3,094.44
  6. Step 6: Final answer
    x = 1,522.06

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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.