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Finding the Fourth Proportional to 2,584.80, 3,570.03 and 1,704.60

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Solution

The fourth proportional to 2,584.80, 3,570.03 and 1,704.60 is: 2,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.80 : 3,570.03 = 1,704.60 : x
  2. Step 2: Convert to fraction form
    2,584.80/3,570.03 = 1,704.60/x
  3. Step 3: Cross multiply
    2,584.80x = 3,570.03 × 1,704.60
  4. Step 4: Simplify right side
    2,584.80x = 6,085,473.14
  5. Step 5: Solve for x
    x = 6,085,473.14/2,584.80
  6. Step 6: Final answer
    x = 2,354.33

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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.