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Finding the Fourth Proportional to 2,124.57, 3,186.92 and 737.94

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Solution

The fourth proportional to 2,124.57, 3,186.92 and 737.94 is: 1,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.57 : 3,186.92 = 737.94 : x
  2. Step 2: Convert to fraction form
    2,124.57/3,186.92 = 737.94/x
  3. Step 3: Cross multiply
    2,124.57x = 3,186.92 × 737.94
  4. Step 4: Simplify right side
    2,124.57x = 2,351,752.06
  5. Step 5: Solve for x
    x = 2,351,752.06/2,124.57
  6. Step 6: Final answer
    x = 1,106.93

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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.