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Finding the Fourth Proportional to 2,810.69, 4,211.02 and 1,821.30

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Solution

The fourth proportional to 2,810.69, 4,211.02 and 1,821.30 is: 2,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.69 : 4,211.02 = 1,821.30 : x
  2. Step 2: Convert to fraction form
    2,810.69/4,211.02 = 1,821.30/x
  3. Step 3: Cross multiply
    2,810.69x = 4,211.02 × 1,821.30
  4. Step 4: Simplify right side
    2,810.69x = 7,669,530.73
  5. Step 5: Solve for x
    x = 7,669,530.73/2,810.69
  6. Step 6: Final answer
    x = 2,728.70

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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.