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Finding the Fourth Proportional to 2,606.40, 3,910.23 and 757.47

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Solution

The fourth proportional to 2,606.40, 3,910.23 and 757.47 is: 1,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.40 : 3,910.23 = 757.47 : x
  2. Step 2: Convert to fraction form
    2,606.40/3,910.23 = 757.47/x
  3. Step 3: Cross multiply
    2,606.40x = 3,910.23 × 757.47
  4. Step 4: Simplify right side
    2,606.40x = 2,961,881.92
  5. Step 5: Solve for x
    x = 2,961,881.92/2,606.40
  6. Step 6: Final answer
    x = 1,136.39

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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.