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Finding the Fourth Proportional to 1,777.44, 2,463.24 and 1,742.88

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Solution

The fourth proportional to 1,777.44, 2,463.24 and 1,742.88 is: 2,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.44 : 2,463.24 = 1,742.88 : x
  2. Step 2: Convert to fraction form
    1,777.44/2,463.24 = 1,742.88/x
  3. Step 3: Cross multiply
    1,777.44x = 2,463.24 × 1,742.88
  4. Step 4: Simplify right side
    1,777.44x = 4,293,131.73
  5. Step 5: Solve for x
    x = 4,293,131.73/1,777.44
  6. Step 6: Final answer
    x = 2,415.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.