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Finding the Fourth Proportional to 1,427.47, 2,140.13 and 605.21

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Solution

The fourth proportional to 1,427.47, 2,140.13 and 605.21 is: 907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.47 : 2,140.13 = 605.21 : x
  2. Step 2: Convert to fraction form
    1,427.47/2,140.13 = 605.21/x
  3. Step 3: Cross multiply
    1,427.47x = 2,140.13 × 605.21
  4. Step 4: Simplify right side
    1,427.47x = 1,295,234.94
  5. Step 5: Solve for x
    x = 1,295,234.94/1,427.47
  6. Step 6: Final answer
    x = 907.37

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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.