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Finding the Fourth Proportional to 2,087.45, 3,131.30 and 700.73

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Solution

The fourth proportional to 2,087.45, 3,131.30 and 700.73 is: 1,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.45 : 3,131.30 = 700.73 : x
  2. Step 2: Convert to fraction form
    2,087.45/3,131.30 = 700.73/x
  3. Step 3: Cross multiply
    2,087.45x = 3,131.30 × 700.73
  4. Step 4: Simplify right side
    2,087.45x = 2,194,181.94
  5. Step 5: Solve for x
    x = 2,194,181.94/2,087.45
  6. Step 6: Final answer
    x = 1,051.13

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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.