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Finding the Fourth Proportional to 1,896.34, 2,616.93 and 1,057.03

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Solution

The fourth proportional to 1,896.34, 2,616.93 and 1,057.03 is: 1,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.34 : 2,616.93 = 1,057.03 : x
  2. Step 2: Convert to fraction form
    1,896.34/2,616.93 = 1,057.03/x
  3. Step 3: Cross multiply
    1,896.34x = 2,616.93 × 1,057.03
  4. Step 4: Simplify right side
    1,896.34x = 2,766,173.52
  5. Step 5: Solve for x
    x = 2,766,173.52/1,896.34
  6. Step 6: Final answer
    x = 1,458.69

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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.