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Finding the Fourth Proportional to 3,172.78, 4,378.32 and 1,846.54

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Solution

The fourth proportional to 3,172.78, 4,378.32 and 1,846.54 is: 2,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.78 : 4,378.32 = 1,846.54 : x
  2. Step 2: Convert to fraction form
    3,172.78/4,378.32 = 1,846.54/x
  3. Step 3: Cross multiply
    3,172.78x = 4,378.32 × 1,846.54
  4. Step 4: Simplify right side
    3,172.78x = 8,084,743.01
  5. Step 5: Solve for x
    x = 8,084,743.01/3,172.78
  6. Step 6: Final answer
    x = 2,548.16

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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.