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Finding the Fourth Proportional to 2,992.52, 4,489.26 and 1,261.40

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Solution

The fourth proportional to 2,992.52, 4,489.26 and 1,261.40 is: 1,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.52 : 4,489.26 = 1,261.40 : x
  2. Step 2: Convert to fraction form
    2,992.52/4,489.26 = 1,261.40/x
  3. Step 3: Cross multiply
    2,992.52x = 4,489.26 × 1,261.40
  4. Step 4: Simplify right side
    2,992.52x = 5,662,752.56
  5. Step 5: Solve for x
    x = 5,662,752.56/2,992.52
  6. Step 6: Final answer
    x = 1,892.30

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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.