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Finding the Fourth Proportional to 2,550.70, 3,828.30 and 1,509.40

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Solution

The fourth proportional to 2,550.70, 3,828.30 and 1,509.40 is: 2,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.70 : 3,828.30 = 1,509.40 : x
  2. Step 2: Convert to fraction form
    2,550.70/3,828.30 = 1,509.40/x
  3. Step 3: Cross multiply
    2,550.70x = 3,828.30 × 1,509.40
  4. Step 4: Simplify right side
    2,550.70x = 5,778,436.02
  5. Step 5: Solve for x
    x = 5,778,436.02/2,550.70
  6. Step 6: Final answer
    x = 2,265.43

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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.