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Finding the Fourth Proportional to 2,123.82, 2,930.99 and 1,239.57

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Solution

The fourth proportional to 2,123.82, 2,930.99 and 1,239.57 is: 1,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.82 : 2,930.99 = 1,239.57 : x
  2. Step 2: Convert to fraction form
    2,123.82/2,930.99 = 1,239.57/x
  3. Step 3: Cross multiply
    2,123.82x = 2,930.99 × 1,239.57
  4. Step 4: Simplify right side
    2,123.82x = 3,633,161.08
  5. Step 5: Solve for x
    x = 3,633,161.08/2,123.82
  6. Step 6: Final answer
    x = 1,710.67

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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.