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Finding the Fourth Proportional to 3,322.50, 4,986.84 and 1,680.23

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Solution

The fourth proportional to 3,322.50, 4,986.84 and 1,680.23 is: 2,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.50 : 4,986.84 = 1,680.23 : x
  2. Step 2: Convert to fraction form
    3,322.50/4,986.84 = 1,680.23/x
  3. Step 3: Cross multiply
    3,322.50x = 4,986.84 × 1,680.23
  4. Step 4: Simplify right side
    3,322.50x = 8,379,038.24
  5. Step 5: Solve for x
    x = 8,379,038.24/3,322.50
  6. Step 6: Final answer
    x = 2,521.90

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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.