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Finding the Fourth Proportional to 2,123.64, 3,182.22 and 968.04

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Solution

The fourth proportional to 2,123.64, 3,182.22 and 968.04 is: 1,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.64 : 3,182.22 = 968.04 : x
  2. Step 2: Convert to fraction form
    2,123.64/3,182.22 = 968.04/x
  3. Step 3: Cross multiply
    2,123.64x = 3,182.22 × 968.04
  4. Step 4: Simplify right side
    2,123.64x = 3,080,516.25
  5. Step 5: Solve for x
    x = 3,080,516.25/2,123.64
  6. Step 6: Final answer
    x = 1,450.58

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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.