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Finding the Fourth Proportional to 1,423.82, 2,136.02 and 602.09

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Solution

The fourth proportional to 1,423.82, 2,136.02 and 602.09 is: 903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.82 : 2,136.02 = 602.09 : x
  2. Step 2: Convert to fraction form
    1,423.82/2,136.02 = 602.09/x
  3. Step 3: Cross multiply
    1,423.82x = 2,136.02 × 602.09
  4. Step 4: Simplify right side
    1,423.82x = 1,286,076.28
  5. Step 5: Solve for x
    x = 1,286,076.28/1,423.82
  6. Step 6: Final answer
    x = 903.26

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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.