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Finding the Fourth Proportional to 2,895.38, 3,993 and 1,900.28

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Solution

The fourth proportional to 2,895.38, 3,993 and 1,900.28 is: 2,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.38 : 3,993 = 1,900.28 : x
  2. Step 2: Convert to fraction form
    2,895.38/3,993 = 1,900.28/x
  3. Step 3: Cross multiply
    2,895.38x = 3,993 × 1,900.28
  4. Step 4: Simplify right side
    2,895.38x = 7,587,818.04
  5. Step 5: Solve for x
    x = 7,587,818.04/2,895.38
  6. Step 6: Final answer
    x = 2,620.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.