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Finding the Fourth Proportional to 3,175.14, 4,762.44 and 1,940.16

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Solution

The fourth proportional to 3,175.14, 4,762.44 and 1,940.16 is: 2,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.14 : 4,762.44 = 1,940.16 : x
  2. Step 2: Convert to fraction form
    3,175.14/4,762.44 = 1,940.16/x
  3. Step 3: Cross multiply
    3,175.14x = 4,762.44 × 1,940.16
  4. Step 4: Simplify right side
    3,175.14x = 9,239,895.59
  5. Step 5: Solve for x
    x = 9,239,895.59/3,175.14
  6. Step 6: Final answer
    x = 2,910.08

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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.