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Finding the Fourth Proportional to 2,087.56, 3,131.38 and 700.64

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Solution

The fourth proportional to 2,087.56, 3,131.38 and 700.64 is: 1,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.56 : 3,131.38 = 700.64 : x
  2. Step 2: Convert to fraction form
    2,087.56/3,131.38 = 700.64/x
  3. Step 3: Cross multiply
    2,087.56x = 3,131.38 × 700.64
  4. Step 4: Simplify right side
    2,087.56x = 2,193,970.08
  5. Step 5: Solve for x
    x = 2,193,970.08/2,087.56
  6. Step 6: Final answer
    x = 1,050.97

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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.