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Finding the Fourth Proportional to 2,584.44, 3,564.54 and 1,536.30

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Solution

The fourth proportional to 2,584.44, 3,564.54 and 1,536.30 is: 2,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.44 : 3,564.54 = 1,536.30 : x
  2. Step 2: Convert to fraction form
    2,584.44/3,564.54 = 1,536.30/x
  3. Step 3: Cross multiply
    2,584.44x = 3,564.54 × 1,536.30
  4. Step 4: Simplify right side
    2,584.44x = 5,476,202.80
  5. Step 5: Solve for x
    x = 5,476,202.80/2,584.44
  6. Step 6: Final answer
    x = 2,118.91

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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.