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Finding the Fourth Proportional to 2,599.08, 3,586.52 and 1,536.78

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Solution

The fourth proportional to 2,599.08, 3,586.52 and 1,536.78 is: 2,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.08 : 3,586.52 = 1,536.78 : x
  2. Step 2: Convert to fraction form
    2,599.08/3,586.52 = 1,536.78/x
  3. Step 3: Cross multiply
    2,599.08x = 3,586.52 × 1,536.78
  4. Step 4: Simplify right side
    2,599.08x = 5,511,692.21
  5. Step 5: Solve for x
    x = 5,511,692.21/2,599.08
  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.