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Finding the Fourth Proportional to 1,829.97, 2,525.31 and 1,044.27

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Solution

The fourth proportional to 1,829.97, 2,525.31 and 1,044.27 is: 1,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.97 : 2,525.31 = 1,044.27 : x
  2. Step 2: Convert to fraction form
    1,829.97/2,525.31 = 1,044.27/x
  3. Step 3: Cross multiply
    1,829.97x = 2,525.31 × 1,044.27
  4. Step 4: Simplify right side
    1,829.97x = 2,637,105.47
  5. Step 5: Solve for x
    x = 2,637,105.47/1,829.97
  6. Step 6: Final answer
    x = 1,441.06

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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.