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Finding the Fourth Proportional to 1,420.88, 1,960.31 and 861.12

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Solution

The fourth proportional to 1,420.88, 1,960.31 and 861.12 is: 1,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.88 : 1,960.31 = 861.12 : x
  2. Step 2: Convert to fraction form
    1,420.88/1,960.31 = 861.12/x
  3. Step 3: Cross multiply
    1,420.88x = 1,960.31 × 861.12
  4. Step 4: Simplify right side
    1,420.88x = 1,688,064.30
  5. Step 5: Solve for x
    x = 1,688,064.30/1,420.88
  6. Step 6: Final answer
    x = 1,188.05

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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.