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Finding the Fourth Proportional to 1,864.42, 2,796.72 and 768.94

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Solution

The fourth proportional to 1,864.42, 2,796.72 and 768.94 is: 1,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.42 : 2,796.72 = 768.94 : x
  2. Step 2: Convert to fraction form
    1,864.42/2,796.72 = 768.94/x
  3. Step 3: Cross multiply
    1,864.42x = 2,796.72 × 768.94
  4. Step 4: Simplify right side
    1,864.42x = 2,150,509.88
  5. Step 5: Solve for x
    x = 2,150,509.88/1,864.42
  6. Step 6: Final answer
    x = 1,153.45

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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.