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Finding the Fourth Proportional to 2,998.44, 4,496.61 and 1,148.58

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Solution

The fourth proportional to 2,998.44, 4,496.61 and 1,148.58 is: 1,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.44 : 4,496.61 = 1,148.58 : x
  2. Step 2: Convert to fraction form
    2,998.44/4,496.61 = 1,148.58/x
  3. Step 3: Cross multiply
    2,998.44x = 4,496.61 × 1,148.58
  4. Step 4: Simplify right side
    2,998.44x = 5,164,716.31
  5. Step 5: Solve for x
    x = 5,164,716.31/2,998.44
  6. Step 6: Final answer
    x = 1,722.47

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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.