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Finding the Fourth Proportional to 2,902.89, 4,006.62 and 1,784.43

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Solution

The fourth proportional to 2,902.89, 4,006.62 and 1,784.43 is: 2,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.89 : 4,006.62 = 1,784.43 : x
  2. Step 2: Convert to fraction form
    2,902.89/4,006.62 = 1,784.43/x
  3. Step 3: Cross multiply
    2,902.89x = 4,006.62 × 1,784.43
  4. Step 4: Simplify right side
    2,902.89x = 7,149,532.93
  5. Step 5: Solve for x
    x = 7,149,532.93/2,902.89
  6. Step 6: Final answer
    x = 2,462.90

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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.