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Finding the Fourth Proportional to 1,592.08, 2,192.17 and 1,381.88

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Solution

The fourth proportional to 1,592.08, 2,192.17 and 1,381.88 is: 1,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.08 : 2,192.17 = 1,381.88 : x
  2. Step 2: Convert to fraction form
    1,592.08/2,192.17 = 1,381.88/x
  3. Step 3: Cross multiply
    1,592.08x = 2,192.17 × 1,381.88
  4. Step 4: Simplify right side
    1,592.08x = 3,029,315.88
  5. Step 5: Solve for x
    x = 3,029,315.88/1,592.08
  6. Step 6: Final answer
    x = 1,902.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.