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Finding the Fourth Proportional to 2,452.75, 3,677.05 and 1,065.03

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Solution

The fourth proportional to 2,452.75, 3,677.05 and 1,065.03 is: 1,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.75 : 3,677.05 = 1,065.03 : x
  2. Step 2: Convert to fraction form
    2,452.75/3,677.05 = 1,065.03/x
  3. Step 3: Cross multiply
    2,452.75x = 3,677.05 × 1,065.03
  4. Step 4: Simplify right side
    2,452.75x = 3,916,179.69
  5. Step 5: Solve for x
    x = 3,916,179.69/2,452.75
  6. Step 6: Final answer
    x = 1,596.65

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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.