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Finding the Fourth Proportional to 2,245.73, 3,100.64 and 1,406.78

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Solution

The fourth proportional to 2,245.73, 3,100.64 and 1,406.78 is: 1,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.73 : 3,100.64 = 1,406.78 : x
  2. Step 2: Convert to fraction form
    2,245.73/3,100.64 = 1,406.78/x
  3. Step 3: Cross multiply
    2,245.73x = 3,100.64 × 1,406.78
  4. Step 4: Simplify right side
    2,245.73x = 4,361,918.34
  5. Step 5: Solve for x
    x = 4,361,918.34/2,245.73
  6. Step 6: Final answer
    x = 1,942.32

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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.