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Finding the Fourth Proportional to 2,390.18, 3,584.66 and 850.82

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Solution

The fourth proportional to 2,390.18, 3,584.66 and 850.82 is: 1,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.18 : 3,584.66 = 850.82 : x
  2. Step 2: Convert to fraction form
    2,390.18/3,584.66 = 850.82/x
  3. Step 3: Cross multiply
    2,390.18x = 3,584.66 × 850.82
  4. Step 4: Simplify right side
    2,390.18x = 3,049,900.42
  5. Step 5: Solve for x
    x = 3,049,900.42/2,390.18
  6. Step 6: Final answer
    x = 1,276.01

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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.