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Finding the Fourth Proportional to 1,924.70, 2,661.27 and 1,678.67

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Solution

The fourth proportional to 1,924.70, 2,661.27 and 1,678.67 is: 2,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.70 : 2,661.27 = 1,678.67 : x
  2. Step 2: Convert to fraction form
    1,924.70/2,661.27 = 1,678.67/x
  3. Step 3: Cross multiply
    1,924.70x = 2,661.27 × 1,678.67
  4. Step 4: Simplify right side
    1,924.70x = 4,467,394.11
  5. Step 5: Solve for x
    x = 4,467,394.11/1,924.70
  6. Step 6: Final answer
    x = 2,321.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.