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Finding the Fourth Proportional to 3,210.50, 4,808.40 and 1,651.82

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Solution

The fourth proportional to 3,210.50, 4,808.40 and 1,651.82 is: 2,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.50 : 4,808.40 = 1,651.82 : x
  2. Step 2: Convert to fraction form
    3,210.50/4,808.40 = 1,651.82/x
  3. Step 3: Cross multiply
    3,210.50x = 4,808.40 × 1,651.82
  4. Step 4: Simplify right side
    3,210.50x = 7,942,586.27
  5. Step 5: Solve for x
    x = 7,942,586.27/3,210.50
  6. Step 6: Final answer
    x = 2,473.94

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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.