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Finding the Fourth Proportional to 2,083.65, 3,124.29 and 849.62

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Solution

The fourth proportional to 2,083.65, 3,124.29 and 849.62 is: 1,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.65 : 3,124.29 = 849.62 : x
  2. Step 2: Convert to fraction form
    2,083.65/3,124.29 = 849.62/x
  3. Step 3: Cross multiply
    2,083.65x = 3,124.29 × 849.62
  4. Step 4: Simplify right side
    2,083.65x = 2,654,443.65
  5. Step 5: Solve for x
    x = 2,654,443.65/2,083.65
  6. Step 6: Final answer
    x = 1,273.94

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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.