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Finding the Fourth Proportional to 1,632.78, 2,448.36 and 983.16

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Solution

The fourth proportional to 1,632.78, 2,448.36 and 983.16 is: 1,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.78 : 2,448.36 = 983.16 : x
  2. Step 2: Convert to fraction form
    1,632.78/2,448.36 = 983.16/x
  3. Step 3: Cross multiply
    1,632.78x = 2,448.36 × 983.16
  4. Step 4: Simplify right side
    1,632.78x = 2,407,129.62
  5. Step 5: Solve for x
    x = 2,407,129.62/1,632.78
  6. Step 6: Final answer
    x = 1,474.25

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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.