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Finding the Fourth Proportional to 2,533.67, 3,800.81 and 1,437.74

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Solution

The fourth proportional to 2,533.67, 3,800.81 and 1,437.74 is: 2,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.67 : 3,800.81 = 1,437.74 : x
  2. Step 2: Convert to fraction form
    2,533.67/3,800.81 = 1,437.74/x
  3. Step 3: Cross multiply
    2,533.67x = 3,800.81 × 1,437.74
  4. Step 4: Simplify right side
    2,533.67x = 5,464,576.57
  5. Step 5: Solve for x
    x = 5,464,576.57/2,533.67
  6. Step 6: Final answer
    x = 2,156.78

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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.