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Finding the Fourth Proportional to 2,962.27, 4,087.49 and 1,703.38

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Solution

The fourth proportional to 2,962.27, 4,087.49 and 1,703.38 is: 2,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.27 : 4,087.49 = 1,703.38 : x
  2. Step 2: Convert to fraction form
    2,962.27/4,087.49 = 1,703.38/x
  3. Step 3: Cross multiply
    2,962.27x = 4,087.49 × 1,703.38
  4. Step 4: Simplify right side
    2,962.27x = 6,962,548.72
  5. Step 5: Solve for x
    x = 6,962,548.72/2,962.27
  6. Step 6: Final answer
    x = 2,350.41

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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.