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Finding the Fourth Proportional to 2,840.45, 4,260.69 and 991.60

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Solution

The fourth proportional to 2,840.45, 4,260.69 and 991.60 is: 1,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.45 : 4,260.69 = 991.60 : x
  2. Step 2: Convert to fraction form
    2,840.45/4,260.69 = 991.60/x
  3. Step 3: Cross multiply
    2,840.45x = 4,260.69 × 991.60
  4. Step 4: Simplify right side
    2,840.45x = 4,224,900.20
  5. Step 5: Solve for x
    x = 4,224,900.20/2,840.45
  6. Step 6: Final answer
    x = 1,487.41

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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.