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Finding the Fourth Proportional to 2,123.44, 3,185.27 and 891.89

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Solution

The fourth proportional to 2,123.44, 3,185.27 and 891.89 is: 1,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.44 : 3,185.27 = 891.89 : x
  2. Step 2: Convert to fraction form
    2,123.44/3,185.27 = 891.89/x
  3. Step 3: Cross multiply
    2,123.44x = 3,185.27 × 891.89
  4. Step 4: Simplify right side
    2,123.44x = 2,840,901.42
  5. Step 5: Solve for x
    x = 2,840,901.42/2,123.44
  6. Step 6: Final answer
    x = 1,337.88

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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.