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Finding the Fourth Proportional to 1,456.43, 2,010.04 and 896.79

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Solution

The fourth proportional to 1,456.43, 2,010.04 and 896.79 is: 1,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.43 : 2,010.04 = 896.79 : x
  2. Step 2: Convert to fraction form
    1,456.43/2,010.04 = 896.79/x
  3. Step 3: Cross multiply
    1,456.43x = 2,010.04 × 896.79
  4. Step 4: Simplify right side
    1,456.43x = 1,802,581.53
  5. Step 5: Solve for x
    x = 1,802,581.53/1,456.43
  6. Step 6: Final answer
    x = 1,237.67

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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.