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Finding the Fourth Proportional to 2,150.64, 2,970.60 and 1,591.92

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Solution

The fourth proportional to 2,150.64, 2,970.60 and 1,591.92 is: 2,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.64 : 2,970.60 = 1,591.92 : x
  2. Step 2: Convert to fraction form
    2,150.64/2,970.60 = 1,591.92/x
  3. Step 3: Cross multiply
    2,150.64x = 2,970.60 × 1,591.92
  4. Step 4: Simplify right side
    2,150.64x = 4,728,957.55
  5. Step 5: Solve for x
    x = 4,728,957.55/2,150.64
  6. Step 6: Final answer
    x = 2,198.86

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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.