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Finding the Fourth Proportional to 1,400.70, 2,101.10 and 823.17

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Solution

The fourth proportional to 1,400.70, 2,101.10 and 823.17 is: 1,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.70 : 2,101.10 = 823.17 : x
  2. Step 2: Convert to fraction form
    1,400.70/2,101.10 = 823.17/x
  3. Step 3: Cross multiply
    1,400.70x = 2,101.10 × 823.17
  4. Step 4: Simplify right side
    1,400.70x = 1,729,558.37
  5. Step 5: Solve for x
    x = 1,729,558.37/1,400.70
  6. Step 6: Final answer
    x = 1,234.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.