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Finding the Fourth Proportional to 2,199.11, 3,298.31 and 659.75

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Solution

The fourth proportional to 2,199.11, 3,298.31 and 659.75 is: 989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.11 : 3,298.31 = 659.75 : x
  2. Step 2: Convert to fraction form
    2,199.11/3,298.31 = 659.75/x
  3. Step 3: Cross multiply
    2,199.11x = 3,298.31 × 659.75
  4. Step 4: Simplify right side
    2,199.11x = 2,176,056.72
  5. Step 5: Solve for x
    x = 2,176,056.72/2,199.11
  6. Step 6: Final answer
    x = 989.52

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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.