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Finding the Fourth Proportional to 1,672.83, 2,499.07 and 1,083.02

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Solution

The fourth proportional to 1,672.83, 2,499.07 and 1,083.02 is: 1,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.83 : 2,499.07 = 1,083.02 : x
  2. Step 2: Convert to fraction form
    1,672.83/2,499.07 = 1,083.02/x
  3. Step 3: Cross multiply
    1,672.83x = 2,499.07 × 1,083.02
  4. Step 4: Simplify right side
    1,672.83x = 2,706,546.33
  5. Step 5: Solve for x
    x = 2,706,546.33/1,672.83
  6. Step 6: Final answer
    x = 1,617.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.