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Finding the Fourth Proportional to 2,138.67, 2,951.71 and 1,299.93

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Solution

The fourth proportional to 2,138.67, 2,951.71 and 1,299.93 is: 1,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.67 : 2,951.71 = 1,299.93 : x
  2. Step 2: Convert to fraction form
    2,138.67/2,951.71 = 1,299.93/x
  3. Step 3: Cross multiply
    2,138.67x = 2,951.71 × 1,299.93
  4. Step 4: Simplify right side
    2,138.67x = 3,837,016.38
  5. Step 5: Solve for x
    x = 3,837,016.38/2,138.67
  6. Step 6: Final answer
    x = 1,794.11

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Why These Related Problems?

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