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Finding the Fourth Proportional to 2,147.36, 3,218.16 and 990.56

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Solution

The fourth proportional to 2,147.36, 3,218.16 and 990.56 is: 1,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.36 : 3,218.16 = 990.56 : x
  2. Step 2: Convert to fraction form
    2,147.36/3,218.16 = 990.56/x
  3. Step 3: Cross multiply
    2,147.36x = 3,218.16 × 990.56
  4. Step 4: Simplify right side
    2,147.36x = 3,187,780.57
  5. Step 5: Solve for x
    x = 3,187,780.57/2,147.36
  6. Step 6: Final answer
    x = 1,484.51

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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.