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Finding the Fourth Proportional to 1,828.13, 2,522.81 and 1,042.22

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Solution

The fourth proportional to 1,828.13, 2,522.81 and 1,042.22 is: 1,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.13 : 2,522.81 = 1,042.22 : x
  2. Step 2: Convert to fraction form
    1,828.13/2,522.81 = 1,042.22/x
  3. Step 3: Cross multiply
    1,828.13x = 2,522.81 × 1,042.22
  4. Step 4: Simplify right side
    1,828.13x = 2,629,331.95
  5. Step 5: Solve for x
    x = 2,629,331.95/1,828.13
  6. Step 6: Final answer
    x = 1,438.27

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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.