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Finding the Fourth Proportional to 1,602.73, 2,207.32 and 1,381.60

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Solution

The fourth proportional to 1,602.73, 2,207.32 and 1,381.60 is: 1,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.73 : 2,207.32 = 1,381.60 : x
  2. Step 2: Convert to fraction form
    1,602.73/2,207.32 = 1,381.60/x
  3. Step 3: Cross multiply
    1,602.73x = 2,207.32 × 1,381.60
  4. Step 4: Simplify right side
    1,602.73x = 3,049,633.31
  5. Step 5: Solve for x
    x = 3,049,633.31/1,602.73
  6. Step 6: Final answer
    x = 1,902.77

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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.