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Finding the Fourth Proportional to 2,403.10, 3,604.85 and 759.61

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Solution

The fourth proportional to 2,403.10, 3,604.85 and 759.61 is: 1,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.10 : 3,604.85 = 759.61 : x
  2. Step 2: Convert to fraction form
    2,403.10/3,604.85 = 759.61/x
  3. Step 3: Cross multiply
    2,403.10x = 3,604.85 × 759.61
  4. Step 4: Simplify right side
    2,403.10x = 2,738,258.29
  5. Step 5: Solve for x
    x = 2,738,258.29/2,403.10
  6. Step 6: Final answer
    x = 1,139.47

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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.