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Finding the Fourth Proportional to 2,505.68, 3,450.84 and 2,017.52

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Solution

The fourth proportional to 2,505.68, 3,450.84 and 2,017.52 is: 2,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.68 : 3,450.84 = 2,017.52 : x
  2. Step 2: Convert to fraction form
    2,505.68/3,450.84 = 2,017.52/x
  3. Step 3: Cross multiply
    2,505.68x = 3,450.84 × 2,017.52
  4. Step 4: Simplify right side
    2,505.68x = 6,962,138.72
  5. Step 5: Solve for x
    x = 6,962,138.72/2,505.68
  6. Step 6: Final answer
    x = 2,778.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.