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Finding the Fourth Proportional to 2,124.11, 3,186.17 and 737.45

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Solution

The fourth proportional to 2,124.11, 3,186.17 and 737.45 is: 1,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.11 : 3,186.17 = 737.45 : x
  2. Step 2: Convert to fraction form
    2,124.11/3,186.17 = 737.45/x
  3. Step 3: Cross multiply
    2,124.11x = 3,186.17 × 737.45
  4. Step 4: Simplify right side
    2,124.11x = 2,349,632.37
  5. Step 5: Solve for x
    x = 2,349,632.37/2,124.11
  6. Step 6: Final answer
    x = 1,106.17

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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.