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Finding the Fourth Proportional to 1,895.14, 2,837.49 and 1,431.49

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Solution

The fourth proportional to 1,895.14, 2,837.49 and 1,431.49 is: 2,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.14 : 2,837.49 = 1,431.49 : x
  2. Step 2: Convert to fraction form
    1,895.14/2,837.49 = 1,431.49/x
  3. Step 3: Cross multiply
    1,895.14x = 2,837.49 × 1,431.49
  4. Step 4: Simplify right side
    1,895.14x = 4,061,838.56
  5. Step 5: Solve for x
    x = 4,061,838.56/1,895.14
  6. Step 6: Final answer
    x = 2,143.29

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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.