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Finding the Fourth Proportional to 1,420.66, 1,960.23 and 861.41

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Solution

The fourth proportional to 1,420.66, 1,960.23 and 861.41 is: 1,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.66 : 1,960.23 = 861.41 : x
  2. Step 2: Convert to fraction form
    1,420.66/1,960.23 = 861.41/x
  3. Step 3: Cross multiply
    1,420.66x = 1,960.23 × 861.41
  4. Step 4: Simplify right side
    1,420.66x = 1,688,561.72
  5. Step 5: Solve for x
    x = 1,688,561.72/1,420.66
  6. Step 6: Final answer
    x = 1,188.58

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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.