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Finding the Fourth Proportional to 1,829.97, 2,523.96 and 1,270.44

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Solution

The fourth proportional to 1,829.97, 2,523.96 and 1,270.44 is: 1,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.97 : 2,523.96 = 1,270.44 : x
  2. Step 2: Convert to fraction form
    1,829.97/2,523.96 = 1,270.44/x
  3. Step 3: Cross multiply
    1,829.97x = 2,523.96 × 1,270.44
  4. Step 4: Simplify right side
    1,829.97x = 3,206,539.74
  5. Step 5: Solve for x
    x = 3,206,539.74/1,829.97
  6. Step 6: Final answer
    x = 1,752.24

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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.