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Finding the Fourth Proportional to 2,962.44, 4,438.80 and 2,092.50

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Solution

The fourth proportional to 2,962.44, 4,438.80 and 2,092.50 is: 3,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.44 : 4,438.80 = 2,092.50 : x
  2. Step 2: Convert to fraction form
    2,962.44/4,438.80 = 2,092.50/x
  3. Step 3: Cross multiply
    2,962.44x = 4,438.80 × 2,092.50
  4. Step 4: Simplify right side
    2,962.44x = 9,288,189
  5. Step 5: Solve for x
    x = 9,288,189/2,962.44
  6. Step 6: Final answer
    x = 3,135.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.