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Finding the Fourth Proportional to 1,427.33, 2,141.06 and 453.41

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Solution

The fourth proportional to 1,427.33, 2,141.06 and 453.41 is: 680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.33 : 2,141.06 = 453.41 : x
  2. Step 2: Convert to fraction form
    1,427.33/2,141.06 = 453.41/x
  3. Step 3: Cross multiply
    1,427.33x = 2,141.06 × 453.41
  4. Step 4: Simplify right side
    1,427.33x = 970,778.01
  5. Step 5: Solve for x
    x = 970,778.01/1,427.33
  6. Step 6: Final answer
    x = 680.14

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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.