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Finding the Fourth Proportional to 1,437.67, 2,158.26 and 946.27

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Solution

The fourth proportional to 1,437.67, 2,158.26 and 946.27 is: 1,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.67 : 2,158.26 = 946.27 : x
  2. Step 2: Convert to fraction form
    1,437.67/2,158.26 = 946.27/x
  3. Step 3: Cross multiply
    1,437.67x = 2,158.26 × 946.27
  4. Step 4: Simplify right side
    1,437.67x = 2,042,296.69
  5. Step 5: Solve for x
    x = 2,042,296.69/1,437.67
  6. Step 6: Final answer
    x = 1,420.56

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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.