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Finding the Fourth Proportional to 2,087.86, 3,131.82 and 992.34

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Solution

The fourth proportional to 2,087.86, 3,131.82 and 992.34 is: 1,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.86 : 3,131.82 = 992.34 : x
  2. Step 2: Convert to fraction form
    2,087.86/3,131.82 = 992.34/x
  3. Step 3: Cross multiply
    2,087.86x = 3,131.82 × 992.34
  4. Step 4: Simplify right side
    2,087.86x = 3,107,830.26
  5. Step 5: Solve for x
    x = 3,107,830.26/2,087.86
  6. Step 6: Final answer
    x = 1,488.52

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