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Finding the Fourth Proportional to 2,227.75, 3,341.74 and 1,900.97

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Solution

The fourth proportional to 2,227.75, 3,341.74 and 1,900.97 is: 2,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.75 : 3,341.74 = 1,900.97 : x
  2. Step 2: Convert to fraction form
    2,227.75/3,341.74 = 1,900.97/x
  3. Step 3: Cross multiply
    2,227.75x = 3,341.74 × 1,900.97
  4. Step 4: Simplify right side
    2,227.75x = 6,352,547.49
  5. Step 5: Solve for x
    x = 6,352,547.49/2,227.75
  6. Step 6: Final answer
    x = 2,851.55

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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.