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Finding the Fourth Proportional to 2,296.46, 3,444.83 and 757.46

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Solution

The fourth proportional to 2,296.46, 3,444.83 and 757.46 is: 1,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.46 : 3,444.83 = 757.46 : x
  2. Step 2: Convert to fraction form
    2,296.46/3,444.83 = 757.46/x
  3. Step 3: Cross multiply
    2,296.46x = 3,444.83 × 757.46
  4. Step 4: Simplify right side
    2,296.46x = 2,609,320.93
  5. Step 5: Solve for x
    x = 2,609,320.93/2,296.46
  6. Step 6: Final answer
    x = 1,136.24

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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.