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Finding the Fourth Proportional to 3,100.28, 4,650.80 and 1,019.75

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Solution

The fourth proportional to 3,100.28, 4,650.80 and 1,019.75 is: 1,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.28 : 4,650.80 = 1,019.75 : x
  2. Step 2: Convert to fraction form
    3,100.28/4,650.80 = 1,019.75/x
  3. Step 3: Cross multiply
    3,100.28x = 4,650.80 × 1,019.75
  4. Step 4: Simplify right side
    3,100.28x = 4,742,624.95
  5. Step 5: Solve for x
    x = 4,742,624.95/3,100.28
  6. Step 6: Final answer
    x = 1,529.74

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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.