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Finding the Fourth Proportional to 1,642.36, 2,463.22 and 472.11

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Solution

The fourth proportional to 1,642.36, 2,463.22 and 472.11 is: 708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.36 : 2,463.22 = 472.11 : x
  2. Step 2: Convert to fraction form
    1,642.36/2,463.22 = 472.11/x
  3. Step 3: Cross multiply
    1,642.36x = 2,463.22 × 472.11
  4. Step 4: Simplify right side
    1,642.36x = 1,162,910.79
  5. Step 5: Solve for x
    x = 1,162,910.79/1,642.36
  6. Step 6: Final answer
    x = 708.07

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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.