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Finding the Fourth Proportional to 1,331.16, 1,998.10 and 1,127.80

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Solution

The fourth proportional to 1,331.16, 1,998.10 and 1,127.80 is: 1,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.16 : 1,998.10 = 1,127.80 : x
  2. Step 2: Convert to fraction form
    1,331.16/1,998.10 = 1,127.80/x
  3. Step 3: Cross multiply
    1,331.16x = 1,998.10 × 1,127.80
  4. Step 4: Simplify right side
    1,331.16x = 2,253,457.18
  5. Step 5: Solve for x
    x = 2,253,457.18/1,331.16
  6. Step 6: Final answer
    x = 1,692.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.