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Finding the Fourth Proportional to 2,605.81, 3,595.31 and 1,674.85

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Solution

The fourth proportional to 2,605.81, 3,595.31 and 1,674.85 is: 2,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.81 : 3,595.31 = 1,674.85 : x
  2. Step 2: Convert to fraction form
    2,605.81/3,595.31 = 1,674.85/x
  3. Step 3: Cross multiply
    2,605.81x = 3,595.31 × 1,674.85
  4. Step 4: Simplify right side
    2,605.81x = 6,021,596.58
  5. Step 5: Solve for x
    x = 6,021,596.58/2,605.81
  6. Step 6: Final answer
    x = 2,310.83

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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.