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Finding the Fourth Proportional to 2,513.37, 3,763.02 and 1,895.14

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Solution

The fourth proportional to 2,513.37, 3,763.02 and 1,895.14 is: 2,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.37 : 3,763.02 = 1,895.14 : x
  2. Step 2: Convert to fraction form
    2,513.37/3,763.02 = 1,895.14/x
  3. Step 3: Cross multiply
    2,513.37x = 3,763.02 × 1,895.14
  4. Step 4: Simplify right side
    2,513.37x = 7,131,449.72
  5. Step 5: Solve for x
    x = 7,131,449.72/2,513.37
  6. Step 6: Final answer
    x = 2,837.41

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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.