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Finding the Fourth Proportional to 1,632.41, 2,448.15 and 462.33

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Solution

The fourth proportional to 1,632.41, 2,448.15 and 462.33 is: 693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.41 : 2,448.15 = 462.33 : x
  2. Step 2: Convert to fraction form
    1,632.41/2,448.15 = 462.33/x
  3. Step 3: Cross multiply
    1,632.41x = 2,448.15 × 462.33
  4. Step 4: Simplify right side
    1,632.41x = 1,131,853.19
  5. Step 5: Solve for x
    x = 1,131,853.19/1,632.41
  6. Step 6: Final answer
    x = 693.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.