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Finding the Fourth Proportional to 2,704.82, 3,732.28 and 1,509.66

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Solution

The fourth proportional to 2,704.82, 3,732.28 and 1,509.66 is: 2,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.82 : 3,732.28 = 1,509.66 : x
  2. Step 2: Convert to fraction form
    2,704.82/3,732.28 = 1,509.66/x
  3. Step 3: Cross multiply
    2,704.82x = 3,732.28 × 1,509.66
  4. Step 4: Simplify right side
    2,704.82x = 5,634,473.82
  5. Step 5: Solve for x
    x = 5,634,473.82/2,704.82
  6. Step 6: Final answer
    x = 2,083.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.