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Finding the Fourth Proportional to 2,478.93, 3,419.87 and 1,627.94

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Solution

The fourth proportional to 2,478.93, 3,419.87 and 1,627.94 is: 2,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.93 : 3,419.87 = 1,627.94 : x
  2. Step 2: Convert to fraction form
    2,478.93/3,419.87 = 1,627.94/x
  3. Step 3: Cross multiply
    2,478.93x = 3,419.87 × 1,627.94
  4. Step 4: Simplify right side
    2,478.93x = 5,567,317.93
  5. Step 5: Solve for x
    x = 5,567,317.93/2,478.93
  6. Step 6: Final answer
    x = 2,245.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.