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Finding the Fourth Proportional to 2,659.48, 3,989.70 and 1,199.32

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Solution

The fourth proportional to 2,659.48, 3,989.70 and 1,199.32 is: 1,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.48 : 3,989.70 = 1,199.32 : x
  2. Step 2: Convert to fraction form
    2,659.48/3,989.70 = 1,199.32/x
  3. Step 3: Cross multiply
    2,659.48x = 3,989.70 × 1,199.32
  4. Step 4: Simplify right side
    2,659.48x = 4,784,927.00
  5. Step 5: Solve for x
    x = 4,784,927.00/2,659.48
  6. Step 6: Final answer
    x = 1,799.20

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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.