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Finding the Fourth Proportional to 3,172.06, 4,757.64 and 980.81

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Solution

The fourth proportional to 3,172.06, 4,757.64 and 980.81 is: 1,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.06 : 4,757.64 = 980.81 : x
  2. Step 2: Convert to fraction form
    3,172.06/4,757.64 = 980.81/x
  3. Step 3: Cross multiply
    3,172.06x = 4,757.64 × 980.81
  4. Step 4: Simplify right side
    3,172.06x = 4,666,331.26
  5. Step 5: Solve for x
    x = 4,666,331.26/3,172.06
  6. Step 6: Final answer
    x = 1,471.07

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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.