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Finding the Fourth Proportional to 2,570.75, 3,852.73 and 1,164.12

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Solution

The fourth proportional to 2,570.75, 3,852.73 and 1,164.12 is: 1,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.75 : 3,852.73 = 1,164.12 : x
  2. Step 2: Convert to fraction form
    2,570.75/3,852.73 = 1,164.12/x
  3. Step 3: Cross multiply
    2,570.75x = 3,852.73 × 1,164.12
  4. Step 4: Simplify right side
    2,570.75x = 4,485,040.05
  5. Step 5: Solve for x
    x = 4,485,040.05/2,570.75
  6. Step 6: Final answer
    x = 1,744.64

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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.