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Finding the Fourth Proportional to 1,546.81, 2,320.23 and 506.80

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Solution

The fourth proportional to 1,546.81, 2,320.23 and 506.80 is: 760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.81 : 2,320.23 = 506.80 : x
  2. Step 2: Convert to fraction form
    1,546.81/2,320.23 = 506.80/x
  3. Step 3: Cross multiply
    1,546.81x = 2,320.23 × 506.80
  4. Step 4: Simplify right side
    1,546.81x = 1,175,892.56
  5. Step 5: Solve for x
    x = 1,175,892.56/1,546.81
  6. Step 6: Final answer
    x = 760.20

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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.