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Finding the Fourth Proportional to 2,530.31, 3,797.90 and 1,232.69

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Solution

The fourth proportional to 2,530.31, 3,797.90 and 1,232.69 is: 1,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.31 : 3,797.90 = 1,232.69 : x
  2. Step 2: Convert to fraction form
    2,530.31/3,797.90 = 1,232.69/x
  3. Step 3: Cross multiply
    2,530.31x = 3,797.90 × 1,232.69
  4. Step 4: Simplify right side
    2,530.31x = 4,681,646.60
  5. Step 5: Solve for x
    x = 4,681,646.60/2,530.31
  6. Step 6: Final answer
    x = 1,850.22

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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.