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Finding the Fourth Proportional to 2,951.33, 4,070.72 and 1,902.38

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Solution

The fourth proportional to 2,951.33, 4,070.72 and 1,902.38 is: 2,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.33 : 4,070.72 = 1,902.38 : x
  2. Step 2: Convert to fraction form
    2,951.33/4,070.72 = 1,902.38/x
  3. Step 3: Cross multiply
    2,951.33x = 4,070.72 × 1,902.38
  4. Step 4: Simplify right side
    2,951.33x = 7,744,040.72
  5. Step 5: Solve for x
    x = 7,744,040.72/2,951.33
  6. Step 6: Final answer
    x = 2,623.92

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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.