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Finding the Fourth Proportional to 1,918.62, 2,647.98 and 1,420.56

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Solution

The fourth proportional to 1,918.62, 2,647.98 and 1,420.56 is: 1,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.62 : 2,647.98 = 1,420.56 : x
  2. Step 2: Convert to fraction form
    1,918.62/2,647.98 = 1,420.56/x
  3. Step 3: Cross multiply
    1,918.62x = 2,647.98 × 1,420.56
  4. Step 4: Simplify right side
    1,918.62x = 3,761,614.47
  5. Step 5: Solve for x
    x = 3,761,614.47/1,918.62
  6. Step 6: Final answer
    x = 1,960.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.