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Finding the Fourth Proportional to 2,123.92, 3,184.64 and 969.04

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Solution

The fourth proportional to 2,123.92, 3,184.64 and 969.04 is: 1,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.92 : 3,184.64 = 969.04 : x
  2. Step 2: Convert to fraction form
    2,123.92/3,184.64 = 969.04/x
  3. Step 3: Cross multiply
    2,123.92x = 3,184.64 × 969.04
  4. Step 4: Simplify right side
    2,123.92x = 3,086,043.55
  5. Step 5: Solve for x
    x = 3,086,043.55/2,123.92
  6. Step 6: Final answer
    x = 1,452.99

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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.