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Finding the Fourth Proportional to 2,114.01, 3,172.94 and 1,127.66

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Solution

The fourth proportional to 2,114.01, 3,172.94 and 1,127.66 is: 1,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.01 : 3,172.94 = 1,127.66 : x
  2. Step 2: Convert to fraction form
    2,114.01/3,172.94 = 1,127.66/x
  3. Step 3: Cross multiply
    2,114.01x = 3,172.94 × 1,127.66
  4. Step 4: Simplify right side
    2,114.01x = 3,577,998.09
  5. Step 5: Solve for x
    x = 3,577,998.09/2,114.01
  6. Step 6: Final answer
    x = 1,692.52

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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.