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Finding the Fourth Proportional to 2,250.10, 3,107.93 and 1,589.90

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Solution

The fourth proportional to 2,250.10, 3,107.93 and 1,589.90 is: 2,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.10 : 3,107.93 = 1,589.90 : x
  2. Step 2: Convert to fraction form
    2,250.10/3,107.93 = 1,589.90/x
  3. Step 3: Cross multiply
    2,250.10x = 3,107.93 × 1,589.90
  4. Step 4: Simplify right side
    2,250.10x = 4,941,311.82
  5. Step 5: Solve for x
    x = 4,941,311.82/2,250.10
  6. Step 6: Final answer
    x = 2,196.04

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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.