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Finding the Fourth Proportional to 1,682.29, 2,321.17 and 1,019.13

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Solution

The fourth proportional to 1,682.29, 2,321.17 and 1,019.13 is: 1,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.29 : 2,321.17 = 1,019.13 : x
  2. Step 2: Convert to fraction form
    1,682.29/2,321.17 = 1,019.13/x
  3. Step 3: Cross multiply
    1,682.29x = 2,321.17 × 1,019.13
  4. Step 4: Simplify right side
    1,682.29x = 2,365,573.98
  5. Step 5: Solve for x
    x = 2,365,573.98/1,682.29
  6. Step 6: Final answer
    x = 1,406.16

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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.