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Finding the Fourth Proportional to 2,632.34, 3,632.72 and 1,453.34

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Solution

The fourth proportional to 2,632.34, 3,632.72 and 1,453.34 is: 2,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.34 : 3,632.72 = 1,453.34 : x
  2. Step 2: Convert to fraction form
    2,632.34/3,632.72 = 1,453.34/x
  3. Step 3: Cross multiply
    2,632.34x = 3,632.72 × 1,453.34
  4. Step 4: Simplify right side
    2,632.34x = 5,279,551.85
  5. Step 5: Solve for x
    x = 5,279,551.85/2,632.34
  6. Step 6: Final answer
    x = 2,005.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.