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Finding the Fourth Proportional to 1,754.30, 2,631.59 and 521.62

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Solution

The fourth proportional to 1,754.30, 2,631.59 and 521.62 is: 782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.30 : 2,631.59 = 521.62 : x
  2. Step 2: Convert to fraction form
    1,754.30/2,631.59 = 521.62/x
  3. Step 3: Cross multiply
    1,754.30x = 2,631.59 × 521.62
  4. Step 4: Simplify right side
    1,754.30x = 1,372,689.98
  5. Step 5: Solve for x
    x = 1,372,689.98/1,754.30
  6. Step 6: Final answer
    x = 782.47

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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.