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Finding the Fourth Proportional to 1,620.41, 2,427.57 and 798.46

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Solution

The fourth proportional to 1,620.41, 2,427.57 and 798.46 is: 1,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.41 : 2,427.57 = 798.46 : x
  2. Step 2: Convert to fraction form
    1,620.41/2,427.57 = 798.46/x
  3. Step 3: Cross multiply
    1,620.41x = 2,427.57 × 798.46
  4. Step 4: Simplify right side
    1,620.41x = 1,938,311.47
  5. Step 5: Solve for x
    x = 1,938,311.47/1,620.41
  6. Step 6: Final answer
    x = 1,196.19

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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.