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Finding the Fourth Proportional to 3,094.43, 4,642.07 and 1,146.47

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Solution

The fourth proportional to 3,094.43, 4,642.07 and 1,146.47 is: 1,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.43 : 4,642.07 = 1,146.47 : x
  2. Step 2: Convert to fraction form
    3,094.43/4,642.07 = 1,146.47/x
  3. Step 3: Cross multiply
    3,094.43x = 4,642.07 × 1,146.47
  4. Step 4: Simplify right side
    3,094.43x = 5,321,965.05
  5. Step 5: Solve for x
    x = 5,321,965.05/3,094.43
  6. Step 6: Final answer
    x = 1,719.86

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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.