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Finding the Fourth Proportional to 1,754.72, 2,631.62 and 521.82

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Solution

The fourth proportional to 1,754.72, 2,631.62 and 521.82 is: 782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.72 : 2,631.62 = 521.82 : x
  2. Step 2: Convert to fraction form
    1,754.72/2,631.62 = 521.82/x
  3. Step 3: Cross multiply
    1,754.72x = 2,631.62 × 521.82
  4. Step 4: Simplify right side
    1,754.72x = 1,373,229.34
  5. Step 5: Solve for x
    x = 1,373,229.34/1,754.72
  6. Step 6: Final answer
    x = 782.59

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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.