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Finding the Fourth Proportional to 1,438.14, 2,157.21 and 891.90

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Solution

The fourth proportional to 1,438.14, 2,157.21 and 891.90 is: 1,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.14 : 2,157.21 = 891.90 : x
  2. Step 2: Convert to fraction form
    1,438.14/2,157.21 = 891.90/x
  3. Step 3: Cross multiply
    1,438.14x = 2,157.21 × 891.90
  4. Step 4: Simplify right side
    1,438.14x = 1,924,015.60
  5. Step 5: Solve for x
    x = 1,924,015.60/1,438.14
  6. Step 6: Final answer
    x = 1,337.85

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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.