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Finding the Fourth Proportional to 2,783.56, 4,175.38 and 731.56

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Solution

The fourth proportional to 2,783.56, 4,175.38 and 731.56 is: 1,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.56 : 4,175.38 = 731.56 : x
  2. Step 2: Convert to fraction form
    2,783.56/4,175.38 = 731.56/x
  3. Step 3: Cross multiply
    2,783.56x = 4,175.38 × 731.56
  4. Step 4: Simplify right side
    2,783.56x = 3,054,540.99
  5. Step 5: Solve for x
    x = 3,054,540.99/2,783.56
  6. Step 6: Final answer
    x = 1,097.35

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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.