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Finding the Fourth Proportional to 3,123.79, 4,310.85 and 2,004.75

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Solution

The fourth proportional to 3,123.79, 4,310.85 and 2,004.75 is: 2,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.79 : 4,310.85 = 2,004.75 : x
  2. Step 2: Convert to fraction form
    3,123.79/4,310.85 = 2,004.75/x
  3. Step 3: Cross multiply
    3,123.79x = 4,310.85 × 2,004.75
  4. Step 4: Simplify right side
    3,123.79x = 8,642,184.06
  5. Step 5: Solve for x
    x = 8,642,184.06/3,123.79
  6. Step 6: Final answer
    x = 2,766.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.