Home / 2,524.72-3,784.50-1,600.96

Finding the Fourth Proportional to 2,524.72, 3,784.50 and 1,600.96

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Solution

The fourth proportional to 2,524.72, 3,784.50 and 1,600.96 is: 2,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.72 : 3,784.50 = 1,600.96 : x
  2. Step 2: Convert to fraction form
    2,524.72/3,784.50 = 1,600.96/x
  3. Step 3: Cross multiply
    2,524.72x = 3,784.50 × 1,600.96
  4. Step 4: Simplify right side
    2,524.72x = 6,058,833.12
  5. Step 5: Solve for x
    x = 6,058,833.12/2,524.72
  6. Step 6: Final answer
    x = 2,399.80

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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.