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Finding the Fourth Proportional to 1,602.31, 2,402.22 and 737.23

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Solution

The fourth proportional to 1,602.31, 2,402.22 and 737.23 is: 1,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.31 : 2,402.22 = 737.23 : x
  2. Step 2: Convert to fraction form
    1,602.31/2,402.22 = 737.23/x
  3. Step 3: Cross multiply
    1,602.31x = 2,402.22 × 737.23
  4. Step 4: Simplify right side
    1,602.31x = 1,770,988.65
  5. Step 5: Solve for x
    x = 1,770,988.65/1,602.31
  6. Step 6: Final answer
    x = 1,105.27

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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.