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Finding the Fourth Proportional to 2,732.69, 3,772.32 and 2,102.96

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Solution

The fourth proportional to 2,732.69, 3,772.32 and 2,102.96 is: 2,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.69 : 3,772.32 = 2,102.96 : x
  2. Step 2: Convert to fraction form
    2,732.69/3,772.32 = 2,102.96/x
  3. Step 3: Cross multiply
    2,732.69x = 3,772.32 × 2,102.96
  4. Step 4: Simplify right side
    2,732.69x = 7,933,051.44
  5. Step 5: Solve for x
    x = 7,933,051.44/2,732.69
  6. Step 6: Final answer
    x = 2,903.02

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1.5x scale

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.