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Finding the Fourth Proportional to 2,273.88, 3,137 and 1,433.08

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Solution

The fourth proportional to 2,273.88, 3,137 and 1,433.08 is: 1,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.88 : 3,137 = 1,433.08 : x
  2. Step 2: Convert to fraction form
    2,273.88/3,137 = 1,433.08/x
  3. Step 3: Cross multiply
    2,273.88x = 3,137 × 1,433.08
  4. Step 4: Simplify right side
    2,273.88x = 4,495,571.96
  5. Step 5: Solve for x
    x = 4,495,571.96/2,273.88
  6. Step 6: Final answer
    x = 1,977.05

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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.