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Finding the Fourth Proportional to 2,087.44, 3,131.22 and 606.76

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Solution

The fourth proportional to 2,087.44, 3,131.22 and 606.76 is: 910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.44 : 3,131.22 = 606.76 : x
  2. Step 2: Convert to fraction form
    2,087.44/3,131.22 = 606.76/x
  3. Step 3: Cross multiply
    2,087.44x = 3,131.22 × 606.76
  4. Step 4: Simplify right side
    2,087.44x = 1,899,899.05
  5. Step 5: Solve for x
    x = 1,899,899.05/2,087.44
  6. Step 6: Final answer
    x = 910.16

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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.