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Finding the Fourth Proportional to 1,540.74, 2,309.74 and 566.62

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Solution

The fourth proportional to 1,540.74, 2,309.74 and 566.62 is: 849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.74 : 2,309.74 = 566.62 : x
  2. Step 2: Convert to fraction form
    1,540.74/2,309.74 = 566.62/x
  3. Step 3: Cross multiply
    1,540.74x = 2,309.74 × 566.62
  4. Step 4: Simplify right side
    1,540.74x = 1,308,737.69
  5. Step 5: Solve for x
    x = 1,308,737.69/1,540.74
  6. Step 6: Final answer
    x = 849.42

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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.