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Finding the Fourth Proportional to 1,632.41, 2,449.22 and 755.34

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Solution

The fourth proportional to 1,632.41, 2,449.22 and 755.34 is: 1,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.41 : 2,449.22 = 755.34 : x
  2. Step 2: Convert to fraction form
    1,632.41/2,449.22 = 755.34/x
  3. Step 3: Cross multiply
    1,632.41x = 2,449.22 × 755.34
  4. Step 4: Simplify right side
    1,632.41x = 1,849,980.87
  5. Step 5: Solve for x
    x = 1,849,980.87/1,632.41
  6. Step 6: Final answer
    x = 1,133.28

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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.