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Finding the Fourth Proportional to 1,768.72, 2,653.32 and 614.56

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Solution

The fourth proportional to 1,768.72, 2,653.32 and 614.56 is: 921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.72 : 2,653.32 = 614.56 : x
  2. Step 2: Convert to fraction form
    1,768.72/2,653.32 = 614.56/x
  3. Step 3: Cross multiply
    1,768.72x = 2,653.32 × 614.56
  4. Step 4: Simplify right side
    1,768.72x = 1,630,624.34
  5. Step 5: Solve for x
    x = 1,630,624.34/1,768.72
  6. Step 6: Final answer
    x = 921.92

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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.