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Finding the Fourth Proportional to 1,427.88, 2,141.81 and 454.05

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Solution

The fourth proportional to 1,427.88, 2,141.81 and 454.05 is: 681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.88 : 2,141.81 = 454.05 : x
  2. Step 2: Convert to fraction form
    1,427.88/2,141.81 = 454.05/x
  3. Step 3: Cross multiply
    1,427.88x = 2,141.81 × 454.05
  4. Step 4: Simplify right side
    1,427.88x = 972,486.56
  5. Step 5: Solve for x
    x = 972,486.56/1,427.88
  6. Step 6: Final answer
    x = 681.07

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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.