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Finding the Fourth Proportional to 1,632.15, 2,448.07 and 462.14

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Solution

The fourth proportional to 1,632.15, 2,448.07 and 462.14 is: 693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.15 : 2,448.07 = 462.14 : x
  2. Step 2: Convert to fraction form
    1,632.15/2,448.07 = 462.14/x
  3. Step 3: Cross multiply
    1,632.15x = 2,448.07 × 462.14
  4. Step 4: Simplify right side
    1,632.15x = 1,131,346.85
  5. Step 5: Solve for x
    x = 1,131,346.85/1,632.15
  6. Step 6: Final answer
    x = 693.16

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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.