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Finding the Fourth Proportional to 2,524.96, 3,776.48 and 1,482.48

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Solution

The fourth proportional to 2,524.96, 3,776.48 and 1,482.48 is: 2,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.96 : 3,776.48 = 1,482.48 : x
  2. Step 2: Convert to fraction form
    2,524.96/3,776.48 = 1,482.48/x
  3. Step 3: Cross multiply
    2,524.96x = 3,776.48 × 1,482.48
  4. Step 4: Simplify right side
    2,524.96x = 5,598,556.07
  5. Step 5: Solve for x
    x = 5,598,556.07/2,524.96
  6. Step 6: Final answer
    x = 2,217.29

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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.