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Finding the Fourth Proportional to 1,855.59, 2,560.05 and 1,192.20

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Solution

The fourth proportional to 1,855.59, 2,560.05 and 1,192.20 is: 1,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.59 : 2,560.05 = 1,192.20 : x
  2. Step 2: Convert to fraction form
    1,855.59/2,560.05 = 1,192.20/x
  3. Step 3: Cross multiply
    1,855.59x = 2,560.05 × 1,192.20
  4. Step 4: Simplify right side
    1,855.59x = 3,052,091.61
  5. Step 5: Solve for x
    x = 3,052,091.61/1,855.59
  6. Step 6: Final answer
    x = 1,644.81

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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.