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Finding the Fourth Proportional to 3,101.64, 4,650.76 and 1,251.80

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Solution

The fourth proportional to 3,101.64, 4,650.76 and 1,251.80 is: 1,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.64 : 4,650.76 = 1,251.80 : x
  2. Step 2: Convert to fraction form
    3,101.64/4,650.76 = 1,251.80/x
  3. Step 3: Cross multiply
    3,101.64x = 4,650.76 × 1,251.80
  4. Step 4: Simplify right side
    3,101.64x = 5,821,821.37
  5. Step 5: Solve for x
    x = 5,821,821.37/3,101.64
  6. Step 6: Final answer
    x = 1,877.01

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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.