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Finding the Fourth Proportional to 2,494.77, 3,742.65 and 850.89

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Solution

The fourth proportional to 2,494.77, 3,742.65 and 850.89 is: 1,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.77 : 3,742.65 = 850.89 : x
  2. Step 2: Convert to fraction form
    2,494.77/3,742.65 = 850.89/x
  3. Step 3: Cross multiply
    2,494.77x = 3,742.65 × 850.89
  4. Step 4: Simplify right side
    2,494.77x = 3,184,583.46
  5. Step 5: Solve for x
    x = 3,184,583.46/2,494.77
  6. Step 6: Final answer
    x = 1,276.50

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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.