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Finding the Fourth Proportional to 2,704.16, 3,731.82 and 1,525.28

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Solution

The fourth proportional to 2,704.16, 3,731.82 and 1,525.28 is: 2,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.16 : 3,731.82 = 1,525.28 : x
  2. Step 2: Convert to fraction form
    2,704.16/3,731.82 = 1,525.28/x
  3. Step 3: Cross multiply
    2,704.16x = 3,731.82 × 1,525.28
  4. Step 4: Simplify right side
    2,704.16x = 5,692,070.41
  5. Step 5: Solve for x
    x = 5,692,070.41/2,704.16
  6. Step 6: Final answer
    x = 2,104.93

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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.