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Finding the Fourth Proportional to 2,381.02, 3,572.10 and 1,082.20

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Solution

The fourth proportional to 2,381.02, 3,572.10 and 1,082.20 is: 1,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.02 : 3,572.10 = 1,082.20 : x
  2. Step 2: Convert to fraction form
    2,381.02/3,572.10 = 1,082.20/x
  3. Step 3: Cross multiply
    2,381.02x = 3,572.10 × 1,082.20
  4. Step 4: Simplify right side
    2,381.02x = 3,865,726.62
  5. Step 5: Solve for x
    x = 3,865,726.62/2,381.02
  6. Step 6: Final answer
    x = 1,623.56

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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.