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Finding the Fourth Proportional to 2,686, 4,030.80 and 1,147.36

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Solution

The fourth proportional to 2,686, 4,030.80 and 1,147.36 is: 1,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 4,030.80 = 1,147.36 : x
  2. Step 2: Convert to fraction form
    2,686/4,030.80 = 1,147.36/x
  3. Step 3: Cross multiply
    2,686x = 4,030.80 × 1,147.36
  4. Step 4: Simplify right side
    2,686x = 4,624,778.69
  5. Step 5: Solve for x
    x = 4,624,778.69/2,686
  6. Step 6: Final answer
    x = 1,721.81

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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.