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Finding the Fourth Proportional to 2,304.41, 3,181.62 and 1,772.34

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Solution

The fourth proportional to 2,304.41, 3,181.62 and 1,772.34 is: 2,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.41 : 3,181.62 = 1,772.34 : x
  2. Step 2: Convert to fraction form
    2,304.41/3,181.62 = 1,772.34/x
  3. Step 3: Cross multiply
    2,304.41x = 3,181.62 × 1,772.34
  4. Step 4: Simplify right side
    2,304.41x = 5,638,912.39
  5. Step 5: Solve for x
    x = 5,638,912.39/2,304.41
  6. Step 6: Final answer
    x = 2,447.01

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Why These Related Problems?

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