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Finding the Fourth Proportional to 2,561.04, 3,840.50 and 805.46

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Solution

The fourth proportional to 2,561.04, 3,840.50 and 805.46 is: 1,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.04 : 3,840.50 = 805.46 : x
  2. Step 2: Convert to fraction form
    2,561.04/3,840.50 = 805.46/x
  3. Step 3: Cross multiply
    2,561.04x = 3,840.50 × 805.46
  4. Step 4: Simplify right side
    2,561.04x = 3,093,369.13
  5. Step 5: Solve for x
    x = 3,093,369.13/2,561.04
  6. Step 6: Final answer
    x = 1,207.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.