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Finding the Fourth Proportional to 2,403.14, 3,604.40 and 759.85

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Solution

The fourth proportional to 2,403.14, 3,604.40 and 759.85 is: 1,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.14 : 3,604.40 = 759.85 : x
  2. Step 2: Convert to fraction form
    2,403.14/3,604.40 = 759.85/x
  3. Step 3: Cross multiply
    2,403.14x = 3,604.40 × 759.85
  4. Step 4: Simplify right side
    2,403.14x = 2,738,803.34
  5. Step 5: Solve for x
    x = 2,738,803.34/2,403.14
  6. Step 6: Final answer
    x = 1,139.68

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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.