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Finding the Fourth Proportional to 3,094.68, 4,642.43 and 1,633.94

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Solution

The fourth proportional to 3,094.68, 4,642.43 and 1,633.94 is: 2,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.68 : 4,642.43 = 1,633.94 : x
  2. Step 2: Convert to fraction form
    3,094.68/4,642.43 = 1,633.94/x
  3. Step 3: Cross multiply
    3,094.68x = 4,642.43 × 1,633.94
  4. Step 4: Simplify right side
    3,094.68x = 7,585,452.07
  5. Step 5: Solve for x
    x = 7,585,452.07/3,094.68
  6. Step 6: Final answer
    x = 2,451.13

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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.