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Finding the Fourth Proportional to 1,723.82, 2,380.01 and 1,324.77

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Solution

The fourth proportional to 1,723.82, 2,380.01 and 1,324.77 is: 1,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.82 : 2,380.01 = 1,324.77 : x
  2. Step 2: Convert to fraction form
    1,723.82/2,380.01 = 1,324.77/x
  3. Step 3: Cross multiply
    1,723.82x = 2,380.01 × 1,324.77
  4. Step 4: Simplify right side
    1,723.82x = 3,152,959.22
  5. Step 5: Solve for x
    x = 3,152,959.22/1,723.82
  6. Step 6: Final answer
    x = 1,829.06

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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.