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Finding the Fourth Proportional to 2,951.67, 4,428.52 and 1,309.37

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Solution

The fourth proportional to 2,951.67, 4,428.52 and 1,309.37 is: 1,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.67 : 4,428.52 = 1,309.37 : x
  2. Step 2: Convert to fraction form
    2,951.67/4,428.52 = 1,309.37/x
  3. Step 3: Cross multiply
    2,951.67x = 4,428.52 × 1,309.37
  4. Step 4: Simplify right side
    2,951.67x = 5,798,553.18
  5. Step 5: Solve for x
    x = 5,798,553.18/2,951.67
  6. Step 6: Final answer
    x = 1,964.50

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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.