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Finding the Fourth Proportional to 2,159.55, 3,238.74 and 599.15

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Solution

The fourth proportional to 2,159.55, 3,238.74 and 599.15 is: 898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.55 : 3,238.74 = 599.15 : x
  2. Step 2: Convert to fraction form
    2,159.55/3,238.74 = 599.15/x
  3. Step 3: Cross multiply
    2,159.55x = 3,238.74 × 599.15
  4. Step 4: Simplify right side
    2,159.55x = 1,940,474.88
  5. Step 5: Solve for x
    x = 1,940,474.88/2,159.55
  6. Step 6: Final answer
    x = 898.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.