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Finding the Fourth Proportional to 1,754.15, 2,631.21 and 521.97

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Solution

The fourth proportional to 1,754.15, 2,631.21 and 521.97 is: 782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.15 : 2,631.21 = 521.97 : x
  2. Step 2: Convert to fraction form
    1,754.15/2,631.21 = 521.97/x
  3. Step 3: Cross multiply
    1,754.15x = 2,631.21 × 521.97
  4. Step 4: Simplify right side
    1,754.15x = 1,373,412.68
  5. Step 5: Solve for x
    x = 1,373,412.68/1,754.15
  6. Step 6: Final answer
    x = 782.95

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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.