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Finding the Fourth Proportional to 2,504.72, 3,760.72 and 1,778.16

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Solution

The fourth proportional to 2,504.72, 3,760.72 and 1,778.16 is: 2,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.72 : 3,760.72 = 1,778.16 : x
  2. Step 2: Convert to fraction form
    2,504.72/3,760.72 = 1,778.16/x
  3. Step 3: Cross multiply
    2,504.72x = 3,760.72 × 1,778.16
  4. Step 4: Simplify right side
    2,504.72x = 6,687,161.88
  5. Step 5: Solve for x
    x = 6,687,161.88/2,504.72
  6. Step 6: Final answer
    x = 2,669.82

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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.