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Finding the Fourth Proportional to 1,592.47, 2,388.30 and 1,072.18

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Solution

The fourth proportional to 1,592.47, 2,388.30 and 1,072.18 is: 1,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.47 : 2,388.30 = 1,072.18 : x
  2. Step 2: Convert to fraction form
    1,592.47/2,388.30 = 1,072.18/x
  3. Step 3: Cross multiply
    1,592.47x = 2,388.30 × 1,072.18
  4. Step 4: Simplify right side
    1,592.47x = 2,560,687.49
  5. Step 5: Solve for x
    x = 2,560,687.49/1,592.47
  6. Step 6: Final answer
    x = 1,608.00

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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.