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Finding the Fourth Proportional to 2,136.98, 3,201.96 and 1,313.52

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Solution

The fourth proportional to 2,136.98, 3,201.96 and 1,313.52 is: 1,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.98 : 3,201.96 = 1,313.52 : x
  2. Step 2: Convert to fraction form
    2,136.98/3,201.96 = 1,313.52/x
  3. Step 3: Cross multiply
    2,136.98x = 3,201.96 × 1,313.52
  4. Step 4: Simplify right side
    2,136.98x = 4,205,838.50
  5. Step 5: Solve for x
    x = 4,205,838.50/2,136.98
  6. Step 6: Final answer
    x = 1,968.12

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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.