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Finding the Fourth Proportional to 2,467.28, 3,700.28 and 735.50

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Solution

The fourth proportional to 2,467.28, 3,700.28 and 735.50 is: 1,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.28 : 3,700.28 = 735.50 : x
  2. Step 2: Convert to fraction form
    2,467.28/3,700.28 = 735.50/x
  3. Step 3: Cross multiply
    2,467.28x = 3,700.28 × 735.50
  4. Step 4: Simplify right side
    2,467.28x = 2,721,555.94
  5. Step 5: Solve for x
    x = 2,721,555.94/2,467.28
  6. Step 6: Final answer
    x = 1,103.06

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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.