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Finding the Fourth Proportional to 3,263.70, 4,892.76 and 1,071.84

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Solution

The fourth proportional to 3,263.70, 4,892.76 and 1,071.84 is: 1,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.70 : 4,892.76 = 1,071.84 : x
  2. Step 2: Convert to fraction form
    3,263.70/4,892.76 = 1,071.84/x
  3. Step 3: Cross multiply
    3,263.70x = 4,892.76 × 1,071.84
  4. Step 4: Simplify right side
    3,263.70x = 5,244,255.88
  5. Step 5: Solve for x
    x = 5,244,255.88/3,263.70
  6. Step 6: Final answer
    x = 1,606.84

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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.