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Finding the Fourth Proportional to 3,256.74, 4,880.86 and 1,306.67

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Solution

The fourth proportional to 3,256.74, 4,880.86 and 1,306.67 is: 1,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.74 : 4,880.86 = 1,306.67 : x
  2. Step 2: Convert to fraction form
    3,256.74/4,880.86 = 1,306.67/x
  3. Step 3: Cross multiply
    3,256.74x = 4,880.86 × 1,306.67
  4. Step 4: Simplify right side
    3,256.74x = 6,377,645.67
  5. Step 5: Solve for x
    x = 6,377,645.67/3,256.74
  6. Step 6: Final answer
    x = 1,958.29

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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.