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Finding the Fourth Proportional to 1,855.96, 2,561.29 and 1,016.73

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Solution

The fourth proportional to 1,855.96, 2,561.29 and 1,016.73 is: 1,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.96 : 2,561.29 = 1,016.73 : x
  2. Step 2: Convert to fraction form
    1,855.96/2,561.29 = 1,016.73/x
  3. Step 3: Cross multiply
    1,855.96x = 2,561.29 × 1,016.73
  4. Step 4: Simplify right side
    1,855.96x = 2,604,137.84
  5. Step 5: Solve for x
    x = 2,604,137.84/1,855.96
  6. Step 6: Final answer
    x = 1,403.12

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Why These Related Problems?

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