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Finding the Fourth Proportional to 1,381.47, 1,906.79 and 961.89

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Solution

The fourth proportional to 1,381.47, 1,906.79 and 961.89 is: 1,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.47 : 1,906.79 = 961.89 : x
  2. Step 2: Convert to fraction form
    1,381.47/1,906.79 = 961.89/x
  3. Step 3: Cross multiply
    1,381.47x = 1,906.79 × 961.89
  4. Step 4: Simplify right side
    1,381.47x = 1,834,122.23
  5. Step 5: Solve for x
    x = 1,834,122.23/1,381.47
  6. Step 6: Final answer
    x = 1,327.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.