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Finding the Fourth Proportional to 2,726.34, 4,087.89 and 992.94

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Solution

The fourth proportional to 2,726.34, 4,087.89 and 992.94 is: 1,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.34 : 4,087.89 = 992.94 : x
  2. Step 2: Convert to fraction form
    2,726.34/4,087.89 = 992.94/x
  3. Step 3: Cross multiply
    2,726.34x = 4,087.89 × 992.94
  4. Step 4: Simplify right side
    2,726.34x = 4,059,029.50
  5. Step 5: Solve for x
    x = 4,059,029.50/2,726.34
  6. Step 6: Final answer
    x = 1,488.82

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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.