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Finding the Fourth Proportional to 1,900.16, 2,845.92 and 1,250

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Solution

The fourth proportional to 1,900.16, 2,845.92 and 1,250 is: 1,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.16 : 2,845.92 = 1,250 : x
  2. Step 2: Convert to fraction form
    1,900.16/2,845.92 = 1,250/x
  3. Step 3: Cross multiply
    1,900.16x = 2,845.92 × 1,250
  4. Step 4: Simplify right side
    1,900.16x = 3,557,400
  5. Step 5: Solve for x
    x = 3,557,400/1,900.16
  6. Step 6: Final answer
    x = 1,872.16

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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.