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Finding the Fourth Proportional to 1,620.90, 2,431.23 and 840.53

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Solution

The fourth proportional to 1,620.90, 2,431.23 and 840.53 is: 1,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.90 : 2,431.23 = 840.53 : x
  2. Step 2: Convert to fraction form
    1,620.90/2,431.23 = 840.53/x
  3. Step 3: Cross multiply
    1,620.90x = 2,431.23 × 840.53
  4. Step 4: Simplify right side
    1,620.90x = 2,043,509.60
  5. Step 5: Solve for x
    x = 2,043,509.60/1,620.90
  6. Step 6: Final answer
    x = 1,260.73

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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.