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Finding the Fourth Proportional to 2,599.26, 3,586.31 and 1,536.98

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Solution

The fourth proportional to 2,599.26, 3,586.31 and 1,536.98 is: 2,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.26 : 3,586.31 = 1,536.98 : x
  2. Step 2: Convert to fraction form
    2,599.26/3,586.31 = 1,536.98/x
  3. Step 3: Cross multiply
    2,599.26x = 3,586.31 × 1,536.98
  4. Step 4: Simplify right side
    2,599.26x = 5,512,072.65
  5. Step 5: Solve for x
    x = 5,512,072.65/2,599.26
  6. Step 6: Final answer
    x = 2,120.63

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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.