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Finding the Fourth Proportional to 2,309.42, 3,463.72 and 665.57

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Solution

The fourth proportional to 2,309.42, 3,463.72 and 665.57 is: 998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.42 : 3,463.72 = 665.57 : x
  2. Step 2: Convert to fraction form
    2,309.42/3,463.72 = 665.57/x
  3. Step 3: Cross multiply
    2,309.42x = 3,463.72 × 665.57
  4. Step 4: Simplify right side
    2,309.42x = 2,305,329.14
  5. Step 5: Solve for x
    x = 2,305,329.14/2,309.42
  6. Step 6: Final answer
    x = 998.23

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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.