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Finding the Fourth Proportional to 2,659.44, 3,989.40 and 1,359.60

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Solution

The fourth proportional to 2,659.44, 3,989.40 and 1,359.60 is: 2,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.44 : 3,989.40 = 1,359.60 : x
  2. Step 2: Convert to fraction form
    2,659.44/3,989.40 = 1,359.60/x
  3. Step 3: Cross multiply
    2,659.44x = 3,989.40 × 1,359.60
  4. Step 4: Simplify right side
    2,659.44x = 5,423,988.24
  5. Step 5: Solve for x
    x = 5,423,988.24/2,659.44
  6. Step 6: Final answer
    x = 2,039.52

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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.