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Finding the Fourth Proportional to 3,270.51, 4,906.61 and 962.01

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Solution

The fourth proportional to 3,270.51, 4,906.61 and 962.01 is: 1,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.51 : 4,906.61 = 962.01 : x
  2. Step 2: Convert to fraction form
    3,270.51/4,906.61 = 962.01/x
  3. Step 3: Cross multiply
    3,270.51x = 4,906.61 × 962.01
  4. Step 4: Simplify right side
    3,270.51x = 4,720,203.08
  5. Step 5: Solve for x
    x = 4,720,203.08/3,270.51
  6. Step 6: Final answer
    x = 1,443.26

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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.