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Finding the Fourth Proportional to 2,313.65, 3,469.03 and 998.23

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Solution

The fourth proportional to 2,313.65, 3,469.03 and 998.23 is: 1,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.65 : 3,469.03 = 998.23 : x
  2. Step 2: Convert to fraction form
    2,313.65/3,469.03 = 998.23/x
  3. Step 3: Cross multiply
    2,313.65x = 3,469.03 × 998.23
  4. Step 4: Simplify right side
    2,313.65x = 3,462,889.82
  5. Step 5: Solve for x
    x = 3,462,889.82/2,313.65
  6. Step 6: Final answer
    x = 1,496.72

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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.