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Finding the Fourth Proportional to 2,124.30, 3,185.67 and 737.28

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Solution

The fourth proportional to 2,124.30, 3,185.67 and 737.28 is: 1,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.30 : 3,185.67 = 737.28 : x
  2. Step 2: Convert to fraction form
    2,124.30/3,185.67 = 737.28/x
  3. Step 3: Cross multiply
    2,124.30x = 3,185.67 × 737.28
  4. Step 4: Simplify right side
    2,124.30x = 2,348,730.78
  5. Step 5: Solve for x
    x = 2,348,730.78/2,124.30
  6. Step 6: Final answer
    x = 1,105.65

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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.