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Finding the Fourth Proportional to 3,266.76, 4,896.23 and 1,880.72

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Solution

The fourth proportional to 3,266.76, 4,896.23 and 1,880.72 is: 2,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.76 : 4,896.23 = 1,880.72 : x
  2. Step 2: Convert to fraction form
    3,266.76/4,896.23 = 1,880.72/x
  3. Step 3: Cross multiply
    3,266.76x = 4,896.23 × 1,880.72
  4. Step 4: Simplify right side
    3,266.76x = 9,208,403.80
  5. Step 5: Solve for x
    x = 9,208,403.80/3,266.76
  6. Step 6: Final answer
    x = 2,818.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.