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Finding the Fourth Proportional to 1,699.70, 2,549.90 and 822.83

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Solution

The fourth proportional to 1,699.70, 2,549.90 and 822.83 is: 1,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.70 : 2,549.90 = 822.83 : x
  2. Step 2: Convert to fraction form
    1,699.70/2,549.90 = 822.83/x
  3. Step 3: Cross multiply
    1,699.70x = 2,549.90 × 822.83
  4. Step 4: Simplify right side
    1,699.70x = 2,098,123.52
  5. Step 5: Solve for x
    x = 2,098,123.52/1,699.70
  6. Step 6: Final answer
    x = 1,234.41

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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.