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Finding the Fourth Proportional to 2,136.02, 3,199.77 and 1,698.02

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Solution

The fourth proportional to 2,136.02, 3,199.77 and 1,698.02 is: 2,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.02 : 3,199.77 = 1,698.02 : x
  2. Step 2: Convert to fraction form
    2,136.02/3,199.77 = 1,698.02/x
  3. Step 3: Cross multiply
    2,136.02x = 3,199.77 × 1,698.02
  4. Step 4: Simplify right side
    2,136.02x = 5,433,273.46
  5. Step 5: Solve for x
    x = 5,433,273.46/2,136.02
  6. Step 6: Final answer
    x = 2,543.64

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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.