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Finding the Fourth Proportional to 1,420.86, 1,960.73 and 861.56

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Solution

The fourth proportional to 1,420.86, 1,960.73 and 861.56 is: 1,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.86 : 1,960.73 = 861.56 : x
  2. Step 2: Convert to fraction form
    1,420.86/1,960.73 = 861.56/x
  3. Step 3: Cross multiply
    1,420.86x = 1,960.73 × 861.56
  4. Step 4: Simplify right side
    1,420.86x = 1,689,272.43
  5. Step 5: Solve for x
    x = 1,689,272.43/1,420.86
  6. Step 6: Final answer
    x = 1,188.91

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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.