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Finding the Fourth Proportional to 2,296.56, 3,444.86 and 757.56

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Solution

The fourth proportional to 2,296.56, 3,444.86 and 757.56 is: 1,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.56 : 3,444.86 = 757.56 : x
  2. Step 2: Convert to fraction form
    2,296.56/3,444.86 = 757.56/x
  3. Step 3: Cross multiply
    2,296.56x = 3,444.86 × 757.56
  4. Step 4: Simplify right side
    2,296.56x = 2,609,688.14
  5. Step 5: Solve for x
    x = 2,609,688.14/2,296.56
  6. Step 6: Final answer
    x = 1,136.35

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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.