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Finding the Fourth Proportional to 1,828.73, 2,523.66 and 1,689.21

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Solution

The fourth proportional to 1,828.73, 2,523.66 and 1,689.21 is: 2,331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.73 : 2,523.66 = 1,689.21 : x
  2. Step 2: Convert to fraction form
    1,828.73/2,523.66 = 1,689.21/x
  3. Step 3: Cross multiply
    1,828.73x = 2,523.66 × 1,689.21
  4. Step 4: Simplify right side
    1,828.73x = 4,262,991.71
  5. Step 5: Solve for x
    x = 4,262,991.71/1,828.73
  6. Step 6: Final answer
    x = 2,331.13

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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.