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Finding the Fourth Proportional to 3,101.36, 4,280 and 1,704.16

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Solution

The fourth proportional to 3,101.36, 4,280 and 1,704.16 is: 2,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.36 : 4,280 = 1,704.16 : x
  2. Step 2: Convert to fraction form
    3,101.36/4,280 = 1,704.16/x
  3. Step 3: Cross multiply
    3,101.36x = 4,280 × 1,704.16
  4. Step 4: Simplify right side
    3,101.36x = 7,293,804.80
  5. Step 5: Solve for x
    x = 7,293,804.80/3,101.36
  6. Step 6: Final answer
    x = 2,351.81

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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.