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Finding the Fourth Proportional to 2,951.18, 4,072.80 and 1,625

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Solution

The fourth proportional to 2,951.18, 4,072.80 and 1,625 is: 2,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.18 : 4,072.80 = 1,625 : x
  2. Step 2: Convert to fraction form
    2,951.18/4,072.80 = 1,625/x
  3. Step 3: Cross multiply
    2,951.18x = 4,072.80 × 1,625
  4. Step 4: Simplify right side
    2,951.18x = 6,618,300
  5. Step 5: Solve for x
    x = 6,618,300/2,951.18
  6. Step 6: Final answer
    x = 2,242.59

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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.