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Finding the Fourth Proportional to 1,674.12, 2,309.87 and 1,083.95

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Solution

The fourth proportional to 1,674.12, 2,309.87 and 1,083.95 is: 1,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.12 : 2,309.87 = 1,083.95 : x
  2. Step 2: Convert to fraction form
    1,674.12/2,309.87 = 1,083.95/x
  3. Step 3: Cross multiply
    1,674.12x = 2,309.87 × 1,083.95
  4. Step 4: Simplify right side
    1,674.12x = 2,503,766.62
  5. Step 5: Solve for x
    x = 2,503,766.62/1,674.12
  6. Step 6: Final answer
    x = 1,495.57

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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.