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Finding the Fourth Proportional to 2,541.47, 3,811.82 and 982.22

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Solution

The fourth proportional to 2,541.47, 3,811.82 and 982.22 is: 1,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.47 : 3,811.82 = 982.22 : x
  2. Step 2: Convert to fraction form
    2,541.47/3,811.82 = 982.22/x
  3. Step 3: Cross multiply
    2,541.47x = 3,811.82 × 982.22
  4. Step 4: Simplify right side
    2,541.47x = 3,744,029.24
  5. Step 5: Solve for x
    x = 3,744,029.24/2,541.47
  6. Step 6: Final answer
    x = 1,473.17

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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.