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Finding the Fourth Proportional to 2,704.64, 3,732.31 and 1,509.66

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Solution

The fourth proportional to 2,704.64, 3,732.31 and 1,509.66 is: 2,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.64 : 3,732.31 = 1,509.66 : x
  2. Step 2: Convert to fraction form
    2,704.64/3,732.31 = 1,509.66/x
  3. Step 3: Cross multiply
    2,704.64x = 3,732.31 × 1,509.66
  4. Step 4: Simplify right side
    2,704.64x = 5,634,519.11
  5. Step 5: Solve for x
    x = 5,634,519.11/2,704.64
  6. Step 6: Final answer
    x = 2,083.28

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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.