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Finding the Fourth Proportional to 2,161.86, 3,242.81 and 601.99

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Solution

The fourth proportional to 2,161.86, 3,242.81 and 601.99 is: 902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.86 : 3,242.81 = 601.99 : x
  2. Step 2: Convert to fraction form
    2,161.86/3,242.81 = 601.99/x
  3. Step 3: Cross multiply
    2,161.86x = 3,242.81 × 601.99
  4. Step 4: Simplify right side
    2,161.86x = 1,952,128.07
  5. Step 5: Solve for x
    x = 1,952,128.07/2,161.86
  6. Step 6: Final answer
    x = 902.99

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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.