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Finding the Fourth Proportional to 1,372.28, 1,896.03 and 1,290.06

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Solution

The fourth proportional to 1,372.28, 1,896.03 and 1,290.06 is: 1,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.28 : 1,896.03 = 1,290.06 : x
  2. Step 2: Convert to fraction form
    1,372.28/1,896.03 = 1,290.06/x
  3. Step 3: Cross multiply
    1,372.28x = 1,896.03 × 1,290.06
  4. Step 4: Simplify right side
    1,372.28x = 2,445,992.46
  5. Step 5: Solve for x
    x = 2,445,992.46/1,372.28
  6. Step 6: Final answer
    x = 1,782.44

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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.