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Finding the Fourth Proportional to 1,602.38, 2,202.36 and 1,414.74

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Solution

The fourth proportional to 1,602.38, 2,202.36 and 1,414.74 is: 1,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.38 : 2,202.36 = 1,414.74 : x
  2. Step 2: Convert to fraction form
    1,602.38/2,202.36 = 1,414.74/x
  3. Step 3: Cross multiply
    1,602.38x = 2,202.36 × 1,414.74
  4. Step 4: Simplify right side
    1,602.38x = 3,115,775.48
  5. Step 5: Solve for x
    x = 3,115,775.48/1,602.38
  6. Step 6: Final answer
    x = 1,944.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.