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Finding the Fourth Proportional to 2,381.40, 3,573.54 and 1,082.88

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Solution

The fourth proportional to 2,381.40, 3,573.54 and 1,082.88 is: 1,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.40 : 3,573.54 = 1,082.88 : x
  2. Step 2: Convert to fraction form
    2,381.40/3,573.54 = 1,082.88/x
  3. Step 3: Cross multiply
    2,381.40x = 3,573.54 × 1,082.88
  4. Step 4: Simplify right side
    2,381.40x = 3,869,715.00
  5. Step 5: Solve for x
    x = 3,869,715.00/2,381.40
  6. Step 6: Final answer
    x = 1,624.97

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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.