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Finding the Fourth Proportional to 3,100.28, 4,650.99 and 1,020.40

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Solution

The fourth proportional to 3,100.28, 4,650.99 and 1,020.40 is: 1,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.28 : 4,650.99 = 1,020.40 : x
  2. Step 2: Convert to fraction form
    3,100.28/4,650.99 = 1,020.40/x
  3. Step 3: Cross multiply
    3,100.28x = 4,650.99 × 1,020.40
  4. Step 4: Simplify right side
    3,100.28x = 4,745,854.74
  5. Step 5: Solve for x
    x = 4,745,854.74/3,100.28
  6. Step 6: Final answer
    x = 1,530.79

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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.