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Finding the Fourth Proportional to 2,173.02, 2,996.37 and 1,426.02

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Solution

The fourth proportional to 2,173.02, 2,996.37 and 1,426.02 is: 1,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.02 : 2,996.37 = 1,426.02 : x
  2. Step 2: Convert to fraction form
    2,173.02/2,996.37 = 1,426.02/x
  3. Step 3: Cross multiply
    2,173.02x = 2,996.37 × 1,426.02
  4. Step 4: Simplify right side
    2,173.02x = 4,272,883.55
  5. Step 5: Solve for x
    x = 4,272,883.55/2,173.02
  6. Step 6: Final answer
    x = 1,966.33

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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.