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Finding the Fourth Proportional to 2,704.16, 3,732 and 1,709.48

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Solution

The fourth proportional to 2,704.16, 3,732 and 1,709.48 is: 2,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.16 : 3,732 = 1,709.48 : x
  2. Step 2: Convert to fraction form
    2,704.16/3,732 = 1,709.48/x
  3. Step 3: Cross multiply
    2,704.16x = 3,732 × 1,709.48
  4. Step 4: Simplify right side
    2,704.16x = 6,379,779.36
  5. Step 5: Solve for x
    x = 6,379,779.36/2,704.16
  6. Step 6: Final answer
    x = 2,359.25

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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.