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Finding the Fourth Proportional to 3,134.78, 4,703.13 and 1,286.03

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Solution

The fourth proportional to 3,134.78, 4,703.13 and 1,286.03 is: 1,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.78 : 4,703.13 = 1,286.03 : x
  2. Step 2: Convert to fraction form
    3,134.78/4,703.13 = 1,286.03/x
  3. Step 3: Cross multiply
    3,134.78x = 4,703.13 × 1,286.03
  4. Step 4: Simplify right side
    3,134.78x = 6,048,378.03
  5. Step 5: Solve for x
    x = 6,048,378.03/3,134.78
  6. Step 6: Final answer
    x = 1,929.44

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