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Finding the Fourth Proportional to 2,951.25, 4,072.70 and 1,624.92

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Solution

The fourth proportional to 2,951.25, 4,072.70 and 1,624.92 is: 2,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.25 : 4,072.70 = 1,624.92 : x
  2. Step 2: Convert to fraction form
    2,951.25/4,072.70 = 1,624.92/x
  3. Step 3: Cross multiply
    2,951.25x = 4,072.70 × 1,624.92
  4. Step 4: Simplify right side
    2,951.25x = 6,617,791.32
  5. Step 5: Solve for x
    x = 6,617,791.32/2,951.25
  6. Step 6: Final answer
    x = 2,242.37

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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.