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Finding the Fourth Proportional to 1,438.28, 2,158.32 and 668.80

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Solution

The fourth proportional to 1,438.28, 2,158.32 and 668.80 is: 1,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.28 : 2,158.32 = 668.80 : x
  2. Step 2: Convert to fraction form
    1,438.28/2,158.32 = 668.80/x
  3. Step 3: Cross multiply
    1,438.28x = 2,158.32 × 668.80
  4. Step 4: Simplify right side
    1,438.28x = 1,443,484.42
  5. Step 5: Solve for x
    x = 1,443,484.42/1,438.28
  6. Step 6: Final answer
    x = 1,003.62

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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.