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Finding the Fourth Proportional to 2,729.70, 4,097.52 and 2,533.14

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Solution

The fourth proportional to 2,729.70, 4,097.52 and 2,533.14 is: 3,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.70 : 4,097.52 = 2,533.14 : x
  2. Step 2: Convert to fraction form
    2,729.70/4,097.52 = 2,533.14/x
  3. Step 3: Cross multiply
    2,729.70x = 4,097.52 × 2,533.14
  4. Step 4: Simplify right side
    2,729.70x = 10,379,591.81
  5. Step 5: Solve for x
    x = 10,379,591.81/2,729.70
  6. Step 6: Final answer
    x = 3,802.47

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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.