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Finding the Fourth Proportional to 1,409.31, 2,112.17 and 668.92

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Solution

The fourth proportional to 1,409.31, 2,112.17 and 668.92 is: 1,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.31 : 2,112.17 = 668.92 : x
  2. Step 2: Convert to fraction form
    1,409.31/2,112.17 = 668.92/x
  3. Step 3: Cross multiply
    1,409.31x = 2,112.17 × 668.92
  4. Step 4: Simplify right side
    1,409.31x = 1,412,869.41
  5. Step 5: Solve for x
    x = 1,412,869.41/1,409.31
  6. Step 6: Final answer
    x = 1,002.53

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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.