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Finding the Fourth Proportional to 1,896.41, 2,614.23 and 1,335.08

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Solution

The fourth proportional to 1,896.41, 2,614.23 and 1,335.08 is: 1,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.41 : 2,614.23 = 1,335.08 : x
  2. Step 2: Convert to fraction form
    1,896.41/2,614.23 = 1,335.08/x
  3. Step 3: Cross multiply
    1,896.41x = 2,614.23 × 1,335.08
  4. Step 4: Simplify right side
    1,896.41x = 3,490,193.12
  5. Step 5: Solve for x
    x = 3,490,193.12/1,896.41
  6. Step 6: Final answer
    x = 1,840.43

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