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Finding the Fourth Proportional to 2,343.42, 3,235.19 and 1,599.23

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Solution

The fourth proportional to 2,343.42, 3,235.19 and 1,599.23 is: 2,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.42 : 3,235.19 = 1,599.23 : x
  2. Step 2: Convert to fraction form
    2,343.42/3,235.19 = 1,599.23/x
  3. Step 3: Cross multiply
    2,343.42x = 3,235.19 × 1,599.23
  4. Step 4: Simplify right side
    2,343.42x = 5,173,788.73
  5. Step 5: Solve for x
    x = 5,173,788.73/2,343.42
  6. Step 6: Final answer
    x = 2,207.79

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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.