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Finding the Fourth Proportional to 2,136.06, 3,205.53 and 749.41

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Solution

The fourth proportional to 2,136.06, 3,205.53 and 749.41 is: 1,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.06 : 3,205.53 = 749.41 : x
  2. Step 2: Convert to fraction form
    2,136.06/3,205.53 = 749.41/x
  3. Step 3: Cross multiply
    2,136.06x = 3,205.53 × 749.41
  4. Step 4: Simplify right side
    2,136.06x = 2,402,236.46
  5. Step 5: Solve for x
    x = 2,402,236.46/2,136.06
  6. Step 6: Final answer
    x = 1,124.61

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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.