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Finding the Fourth Proportional to 2,704.20, 3,731.81 and 1,525.28

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Solution

The fourth proportional to 2,704.20, 3,731.81 and 1,525.28 is: 2,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.20 : 3,731.81 = 1,525.28 : x
  2. Step 2: Convert to fraction form
    2,704.20/3,731.81 = 1,525.28/x
  3. Step 3: Cross multiply
    2,704.20x = 3,731.81 × 1,525.28
  4. Step 4: Simplify right side
    2,704.20x = 5,692,038.20
  5. Step 5: Solve for x
    x = 5,692,038.20/2,704.20
  6. Step 6: Final answer
    x = 2,104.89

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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.