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Finding the Fourth Proportional to 1,602.86, 2,207.49 and 1,381.73

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Solution

The fourth proportional to 1,602.86, 2,207.49 and 1,381.73 is: 1,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.86 : 2,207.49 = 1,381.73 : x
  2. Step 2: Convert to fraction form
    1,602.86/2,207.49 = 1,381.73/x
  3. Step 3: Cross multiply
    1,602.86x = 2,207.49 × 1,381.73
  4. Step 4: Simplify right side
    1,602.86x = 3,050,144.12
  5. Step 5: Solve for x
    x = 3,050,144.12/1,602.86
  6. Step 6: Final answer
    x = 1,902.94

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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.