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Finding the Fourth Proportional to 2,120.55, 3,177.60 and 1,023.60

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Solution

The fourth proportional to 2,120.55, 3,177.60 and 1,023.60 is: 1,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.55 : 3,177.60 = 1,023.60 : x
  2. Step 2: Convert to fraction form
    2,120.55/3,177.60 = 1,023.60/x
  3. Step 3: Cross multiply
    2,120.55x = 3,177.60 × 1,023.60
  4. Step 4: Simplify right side
    2,120.55x = 3,252,591.36
  5. Step 5: Solve for x
    x = 3,252,591.36/2,120.55
  6. Step 6: Final answer
    x = 1,533.84

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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.