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Finding the Fourth Proportional to 2,403.08, 3,605.14 and 759.80

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Solution

The fourth proportional to 2,403.08, 3,605.14 and 759.80 is: 1,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.08 : 3,605.14 = 759.80 : x
  2. Step 2: Convert to fraction form
    2,403.08/3,605.14 = 759.80/x
  3. Step 3: Cross multiply
    2,403.08x = 3,605.14 × 759.80
  4. Step 4: Simplify right side
    2,403.08x = 2,739,185.37
  5. Step 5: Solve for x
    x = 2,739,185.37/2,403.08
  6. Step 6: Final answer
    x = 1,139.86

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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.