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Finding the Fourth Proportional to 3,175.78, 4,758.45 and 1,094.68

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Solution

The fourth proportional to 3,175.78, 4,758.45 and 1,094.68 is: 1,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.78 : 4,758.45 = 1,094.68 : x
  2. Step 2: Convert to fraction form
    3,175.78/4,758.45 = 1,094.68/x
  3. Step 3: Cross multiply
    3,175.78x = 4,758.45 × 1,094.68
  4. Step 4: Simplify right side
    3,175.78x = 5,208,980.05
  5. Step 5: Solve for x
    x = 5,208,980.05/3,175.78
  6. Step 6: Final answer
    x = 1,640.22

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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.