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Finding the Fourth Proportional to 1,490.82, 2,059.50 and 1,231.62

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Solution

The fourth proportional to 1,490.82, 2,059.50 and 1,231.62 is: 1,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.82 : 2,059.50 = 1,231.62 : x
  2. Step 2: Convert to fraction form
    1,490.82/2,059.50 = 1,231.62/x
  3. Step 3: Cross multiply
    1,490.82x = 2,059.50 × 1,231.62
  4. Step 4: Simplify right side
    1,490.82x = 2,536,521.39
  5. Step 5: Solve for x
    x = 2,536,521.39/1,490.82
  6. Step 6: Final answer
    x = 1,701.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.