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Finding the Fourth Proportional to 1,771.82, 2,444.96 and 1,025.82

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Solution

The fourth proportional to 1,771.82, 2,444.96 and 1,025.82 is: 1,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.82 : 2,444.96 = 1,025.82 : x
  2. Step 2: Convert to fraction form
    1,771.82/2,444.96 = 1,025.82/x
  3. Step 3: Cross multiply
    1,771.82x = 2,444.96 × 1,025.82
  4. Step 4: Simplify right side
    1,771.82x = 2,508,086.30
  5. Step 5: Solve for x
    x = 2,508,086.30/1,771.82
  6. Step 6: Final answer
    x = 1,415.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.