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Finding the Fourth Proportional to 1,456.30, 2,010.12 and 990.82

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Solution

The fourth proportional to 1,456.30, 2,010.12 and 990.82 is: 1,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.30 : 2,010.12 = 990.82 : x
  2. Step 2: Convert to fraction form
    1,456.30/2,010.12 = 990.82/x
  3. Step 3: Cross multiply
    1,456.30x = 2,010.12 × 990.82
  4. Step 4: Simplify right side
    1,456.30x = 1,991,667.10
  5. Step 5: Solve for x
    x = 1,991,667.10/1,456.30
  6. Step 6: Final answer
    x = 1,367.62

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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.