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Finding the Fourth Proportional to 3,283.77, 4,927.19 and 1,640.43

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Solution

The fourth proportional to 3,283.77, 4,927.19 and 1,640.43 is: 2,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.77 : 4,927.19 = 1,640.43 : x
  2. Step 2: Convert to fraction form
    3,283.77/4,927.19 = 1,640.43/x
  3. Step 3: Cross multiply
    3,283.77x = 4,927.19 × 1,640.43
  4. Step 4: Simplify right side
    3,283.77x = 8,082,702.09
  5. Step 5: Solve for x
    x = 8,082,702.09/3,283.77
  6. Step 6: Final answer
    x = 2,461.41

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1.5x scale

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.