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Finding the Fourth Proportional to 2,087.89, 3,132.14 and 771.43

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Solution

The fourth proportional to 2,087.89, 3,132.14 and 771.43 is: 1,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.89 : 3,132.14 = 771.43 : x
  2. Step 2: Convert to fraction form
    2,087.89/3,132.14 = 771.43/x
  3. Step 3: Cross multiply
    2,087.89x = 3,132.14 × 771.43
  4. Step 4: Simplify right side
    2,087.89x = 2,416,226.76
  5. Step 5: Solve for x
    x = 2,416,226.76/2,087.89
  6. Step 6: Final answer
    x = 1,157.26

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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.