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Finding the Fourth Proportional to 1,855.18, 2,561.12 and 1,260.82

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Solution

The fourth proportional to 1,855.18, 2,561.12 and 1,260.82 is: 1,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.18 : 2,561.12 = 1,260.82 : x
  2. Step 2: Convert to fraction form
    1,855.18/2,561.12 = 1,260.82/x
  3. Step 3: Cross multiply
    1,855.18x = 2,561.12 × 1,260.82
  4. Step 4: Simplify right side
    1,855.18x = 3,229,098.54
  5. Step 5: Solve for x
    x = 3,229,098.54/1,855.18
  6. Step 6: Final answer
    x = 1,740.59

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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.