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Finding the Fourth Proportional to 2,162.07, 3,242.44 and 601.69

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Solution

The fourth proportional to 2,162.07, 3,242.44 and 601.69 is: 902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.07 : 3,242.44 = 601.69 : x
  2. Step 2: Convert to fraction form
    2,162.07/3,242.44 = 601.69/x
  3. Step 3: Cross multiply
    2,162.07x = 3,242.44 × 601.69
  4. Step 4: Simplify right side
    2,162.07x = 1,950,943.72
  5. Step 5: Solve for x
    x = 1,950,943.72/2,162.07
  6. Step 6: Final answer
    x = 902.35

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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.