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Finding the Fourth Proportional to 2,599.46, 3,589.65 and 1,669.58

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Solution

The fourth proportional to 2,599.46, 3,589.65 and 1,669.58 is: 2,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.46 : 3,589.65 = 1,669.58 : x
  2. Step 2: Convert to fraction form
    2,599.46/3,589.65 = 1,669.58/x
  3. Step 3: Cross multiply
    2,599.46x = 3,589.65 × 1,669.58
  4. Step 4: Simplify right side
    2,599.46x = 5,993,207.85
  5. Step 5: Solve for x
    x = 5,993,207.85/2,599.46
  6. Step 6: Final answer
    x = 2,305.56

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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.