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Finding the Fourth Proportional to 2,053.67, 3,083.24 and 1,747.49

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Solution

The fourth proportional to 2,053.67, 3,083.24 and 1,747.49 is: 2,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.67 : 3,083.24 = 1,747.49 : x
  2. Step 2: Convert to fraction form
    2,053.67/3,083.24 = 1,747.49/x
  3. Step 3: Cross multiply
    2,053.67x = 3,083.24 × 1,747.49
  4. Step 4: Simplify right side
    2,053.67x = 5,387,931.07
  5. Step 5: Solve for x
    x = 5,387,931.07/2,053.67
  6. Step 6: Final answer
    x = 2,623.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.