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Finding the Fourth Proportional to 2,136.94, 2,949.12 and 1,192.92

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Solution

The fourth proportional to 2,136.94, 2,949.12 and 1,192.92 is: 1,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.94 : 2,949.12 = 1,192.92 : x
  2. Step 2: Convert to fraction form
    2,136.94/2,949.12 = 1,192.92/x
  3. Step 3: Cross multiply
    2,136.94x = 2,949.12 × 1,192.92
  4. Step 4: Simplify right side
    2,136.94x = 3,518,057.64
  5. Step 5: Solve for x
    x = 3,518,057.64/2,136.94
  6. Step 6: Final answer
    x = 1,646.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.