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Finding the Fourth Proportional to 2,390.30, 3,584.85 and 850.94

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Solution

The fourth proportional to 2,390.30, 3,584.85 and 850.94 is: 1,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.30 : 3,584.85 = 850.94 : x
  2. Step 2: Convert to fraction form
    2,390.30/3,584.85 = 850.94/x
  3. Step 3: Cross multiply
    2,390.30x = 3,584.85 × 850.94
  4. Step 4: Simplify right side
    2,390.30x = 3,050,492.26
  5. Step 5: Solve for x
    x = 3,050,492.26/2,390.30
  6. Step 6: Final answer
    x = 1,276.20

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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.