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Finding the Fourth Proportional to 2,136.04, 2,946.18 and 1,633.03

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Solution

The fourth proportional to 2,136.04, 2,946.18 and 1,633.03 is: 2,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.04 : 2,946.18 = 1,633.03 : x
  2. Step 2: Convert to fraction form
    2,136.04/2,946.18 = 1,633.03/x
  3. Step 3: Cross multiply
    2,136.04x = 2,946.18 × 1,633.03
  4. Step 4: Simplify right side
    2,136.04x = 4,811,200.33
  5. Step 5: Solve for x
    x = 4,811,200.33/2,136.04
  6. Step 6: Final answer
    x = 2,252.39

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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.