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Finding the Fourth Proportional to 2,732.08, 4,098.10 and 784.28

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Solution

The fourth proportional to 2,732.08, 4,098.10 and 784.28 is: 1,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.08 : 4,098.10 = 784.28 : x
  2. Step 2: Convert to fraction form
    2,732.08/4,098.10 = 784.28/x
  3. Step 3: Cross multiply
    2,732.08x = 4,098.10 × 784.28
  4. Step 4: Simplify right side
    2,732.08x = 3,214,057.87
  5. Step 5: Solve for x
    x = 3,214,057.87/2,732.08
  6. Step 6: Final answer
    x = 1,176.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.