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Finding the Fourth Proportional to 3,118, 4,675.78 and 926.14

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Solution

The fourth proportional to 3,118, 4,675.78 and 926.14 is: 1,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118 : 4,675.78 = 926.14 : x
  2. Step 2: Convert to fraction form
    3,118/4,675.78 = 926.14/x
  3. Step 3: Cross multiply
    3,118x = 4,675.78 × 926.14
  4. Step 4: Simplify right side
    3,118x = 4,330,426.89
  5. Step 5: Solve for x
    x = 4,330,426.89/3,118
  6. Step 6: Final answer
    x = 1,388.85

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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.