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Finding the Fourth Proportional to 1,427.81, 2,141.37 and 605.66

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Solution

The fourth proportional to 1,427.81, 2,141.37 and 605.66 is: 908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.81 : 2,141.37 = 605.66 : x
  2. Step 2: Convert to fraction form
    1,427.81/2,141.37 = 605.66/x
  3. Step 3: Cross multiply
    1,427.81x = 2,141.37 × 605.66
  4. Step 4: Simplify right side
    1,427.81x = 1,296,931.45
  5. Step 5: Solve for x
    x = 1,296,931.45/1,427.81
  6. Step 6: Final answer
    x = 908.34

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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.