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Finding the Fourth Proportional to 3,125.70, 4,684.46 and 1,274.63

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Solution

The fourth proportional to 3,125.70, 4,684.46 and 1,274.63 is: 1,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.70 : 4,684.46 = 1,274.63 : x
  2. Step 2: Convert to fraction form
    3,125.70/4,684.46 = 1,274.63/x
  3. Step 3: Cross multiply
    3,125.70x = 4,684.46 × 1,274.63
  4. Step 4: Simplify right side
    3,125.70x = 5,970,923.45
  5. Step 5: Solve for x
    x = 5,970,923.45/3,125.70
  6. Step 6: Final answer
    x = 1,910.27

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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.