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Finding the Fourth Proportional to 2,309.14, 3,461.46 and 993.22

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Solution

The fourth proportional to 2,309.14, 3,461.46 and 993.22 is: 1,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.14 : 3,461.46 = 993.22 : x
  2. Step 2: Convert to fraction form
    2,309.14/3,461.46 = 993.22/x
  3. Step 3: Cross multiply
    2,309.14x = 3,461.46 × 993.22
  4. Step 4: Simplify right side
    2,309.14x = 3,437,991.30
  5. Step 5: Solve for x
    x = 3,437,991.30/2,309.14
  6. Step 6: Final answer
    x = 1,488.86

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1.5x scale

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.