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Finding the Fourth Proportional to 2,083.53, 3,123.27 and 1,598.61

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Solution

The fourth proportional to 2,083.53, 3,123.27 and 1,598.61 is: 2,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.53 : 3,123.27 = 1,598.61 : x
  2. Step 2: Convert to fraction form
    2,083.53/3,123.27 = 1,598.61/x
  3. Step 3: Cross multiply
    2,083.53x = 3,123.27 × 1,598.61
  4. Step 4: Simplify right side
    2,083.53x = 4,992,890.65
  5. Step 5: Solve for x
    x = 4,992,890.65/2,083.53
  6. Step 6: Final answer
    x = 2,396.36

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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.