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Finding the Fourth Proportional to 2,087.39, 3,131.40 and 770.94

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Solution

The fourth proportional to 2,087.39, 3,131.40 and 770.94 is: 1,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.39 : 3,131.40 = 770.94 : x
  2. Step 2: Convert to fraction form
    2,087.39/3,131.40 = 770.94/x
  3. Step 3: Cross multiply
    2,087.39x = 3,131.40 × 770.94
  4. Step 4: Simplify right side
    2,087.39x = 2,414,121.52
  5. Step 5: Solve for x
    x = 2,414,121.52/2,087.39
  6. Step 6: Final answer
    x = 1,156.53

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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.