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Finding the Fourth Proportional to 1,768.64, 2,438.50 and 1,415.48

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Solution

The fourth proportional to 1,768.64, 2,438.50 and 1,415.48 is: 1,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.64 : 2,438.50 = 1,415.48 : x
  2. Step 2: Convert to fraction form
    1,768.64/2,438.50 = 1,415.48/x
  3. Step 3: Cross multiply
    1,768.64x = 2,438.50 × 1,415.48
  4. Step 4: Simplify right side
    1,768.64x = 3,451,647.98
  5. Step 5: Solve for x
    x = 3,451,647.98/1,768.64
  6. Step 6: Final answer
    x = 1,951.58

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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.