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Finding the Fourth Proportional to 3,315.90, 4,973.82 and 850.71

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Solution

The fourth proportional to 3,315.90, 4,973.82 and 850.71 is: 1,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.90 : 4,973.82 = 850.71 : x
  2. Step 2: Convert to fraction form
    3,315.90/4,973.82 = 850.71/x
  3. Step 3: Cross multiply
    3,315.90x = 4,973.82 × 850.71
  4. Step 4: Simplify right side
    3,315.90x = 4,231,278.41
  5. Step 5: Solve for x
    x = 4,231,278.41/3,315.90
  6. Step 6: Final answer
    x = 1,276.06

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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.