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Finding the Fourth Proportional to 1,846.56, 2,772 and 1,542

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Solution

The fourth proportional to 1,846.56, 2,772 and 1,542 is: 2,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.56 : 2,772 = 1,542 : x
  2. Step 2: Convert to fraction form
    1,846.56/2,772 = 1,542/x
  3. Step 3: Cross multiply
    1,846.56x = 2,772 × 1,542
  4. Step 4: Simplify right side
    1,846.56x = 4,274,424
  5. Step 5: Solve for x
    x = 4,274,424/1,846.56
  6. Step 6: Final answer
    x = 2,314.80

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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.