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Finding the Fourth Proportional to 2,837.70, 4,256.76 and 757.70

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Solution

The fourth proportional to 2,837.70, 4,256.76 and 757.70 is: 1,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.70 : 4,256.76 = 757.70 : x
  2. Step 2: Convert to fraction form
    2,837.70/4,256.76 = 757.70/x
  3. Step 3: Cross multiply
    2,837.70x = 4,256.76 × 757.70
  4. Step 4: Simplify right side
    2,837.70x = 3,225,347.05
  5. Step 5: Solve for x
    x = 3,225,347.05/2,837.70
  6. Step 6: Final answer
    x = 1,136.61

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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.